Online courses directory (19947)

Recreational mathematics and inspirational videos by resident mathemusician Vi Hart. Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]. Doodling in Math Class: Spirals, Fibonacci, and Being a Plant [2 of 3]. Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]. Doodling in Math Class: Binary Trees. Doodling in Math Class: Stars. Doodling in Math Class: Snakes + Graphs. Doodling in Math Class: Infinity Elephants. Doodling in Math: Sick Number Games. Doodling in Math Class: Squiggle Inception. Doodling in Math Class: Triangle Party. Mobius Story: Wind and Mr. Ug. Math Improv: Fruit by the Foot. Wau: The Most Amazing, Ancient, and Singular Number. Are Shakespeare's Plays Encoded within Pi?. What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch). Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea. How To Snakes. Origami Proof of the Pythagorean Theorem. 9.999... reasons that .999... = 1. Pi Is (still) Wrong.. Fractal Fractions. Angle-a-trons. Binary Hand Dance. Re: Visual Multiplication and 48/2(9+3). The Gauss Christmath Special. Rhapsody on the Proof of Pi = 4. Doodle Music. What was up with Pythagoras?. A Song About A Circle Constant. Dialogue for 2. Doodling in Math Class: Connecting Dots. Hexaflexagons. Hexaflexagons 2. Hexaflexagon Safety Guide. Flex Mex. Optimal Potatoes. Green Bean Matherole. Borromean Onion Rings. Thanksgiving Turduckenen-duckenen. Snowflakes, Starflakes, and Swirlflakes. Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]. Doodling in Math Class: Spirals, Fibonacci, and Being a Plant [2 of 3]. Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]. Doodling in Math Class: Binary Trees. Doodling in Math Class: Stars. Doodling in Math Class: Snakes + Graphs. Doodling in Math Class: Infinity Elephants. Doodling in Math: Sick Number Games. Doodling in Math Class: Squiggle Inception. Doodling in Math Class: Triangle Party. Mobius Story: Wind and Mr. Ug. Math Improv: Fruit by the Foot. Wau: The Most Amazing, Ancient, and Singular Number. Are Shakespeare's Plays Encoded within Pi?. What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch). Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea. How To Snakes. Origami Proof of the Pythagorean Theorem. 9.999... reasons that .999... = 1. Pi Is (still) Wrong.. Fractal Fractions. Angle-a-trons. Binary Hand Dance. Re: Visual Multiplication and 48/2(9+3). The Gauss Christmath Special. Rhapsody on the Proof of Pi = 4. Doodle Music. What was up with Pythagoras?. A Song About A Circle Constant. Dialogue for 2. Doodling in Math Class: Connecting Dots. Hexaflexagons. Hexaflexagons 2. Hexaflexagon Safety Guide. Flex Mex. Optimal Potatoes. Green Bean Matherole. Borromean Onion Rings. Thanksgiving Turduckenen-duckenen. Snowflakes, Starflakes, and Swirlflakes.

Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theorem. Minima, maxima and critical points. Testing critical points for local extrema. Identifying minima and maxima for x^3 - 12x - 5. Concavity, concave upwards and concave downwards intervals. Recognizing concavity exercise. Recognizing concavity. Inflection points. Graphing using derivatives. Another example graphing with derivatives. Minimizing sum of squares. Optimizing box volume graphically. Optimizing box volume analytically. Optimizing profit at a shoe factory. Minimizing the cost of a storage container. Expression for combined area of triangle and square. Minimizing combined area. Rates of change between radius and area of circle. Rate of change of balloon height. Related rates of water pouring into cone. Falling ladder related rates. Rate of change of distance between approaching cars. Speed of shadow of diving bird. Mean Value Theorem. Introduction to L'H

Were the Middle Ages really all that dark? Hardly! How could we call the period that saw the building of Chartres Cathedral with its stunning stained-glass windows, dark? Sure, the Roman empire collapsed, but with the Christianization of Europe came magnificent churches, illuminated bibles, and intricately designed broaches. This period also saw the birth of Islam, the third great monotheistic religion. Introduction. Medieval and Byzantine Art. A New Pictorial Language: The Image in Early Medieval Art. Iconoclasm. Medieval Manuscripts. The Bestiary. Beginner's Guide to Medieval Art. An Introduction to Christianity. Standard Scenes from the Life of Christ in Art. An Introduction to Early Christian Art. Early Christian Art & Architecture after Constantine. Sarcophagus of Junius Bassus. Santa Sabina. Santa Maria Maggiore. The Mausoleum of Galla Placidia, Ravenna. Early Christian. Sutton Hoo Ship Burial. The Lindesfarne Gospels. Medieval and Byzantine Art. San Vitale. Sant'Apollinare in Classe, Ravenna, Italy, c. 533-49. Hagia Sophia. Ivory panel with Archangel. Icon of Saint George (the "Black George"). Icon of the Triumph of Orthodoxy. Byzantine Art. Introduction to Islam. The Five Pillars of Islam. Arts of the Islamic World. Two Royal Figures (Saljuq Period). Coronation Mantle. Ilkhanid Mihrab. Hebrew Astrolabe. Qa'a: The Damascus Room. Carolingian Art: An Introduction. Charlemagne: An Introduction (1 of 2). Charlemagne and the Carolingian Revival (part 2 of 2). Saint Matthew from the Ebbo Gospel. Lindau Gospels Cover. Santa Prassede (Praxedes). Carolingian. Ottonian Art: An Introduction. Bronze doors, Saint Michael's, Hildesheim, commissioned by Bishop Bernward, 1015. Pilgrimage Routes and the Cult of the Relic. Pentecost and Mission to the Apostles Tympanum, V

Are you paying attention?. Observation: Are you paying attention. Field observations with fresh eyes. Recognizing opportunity in the rain. Challenge: Observation lab. Challenge: Paying attention. Spark a revolution. Reframing problems. Using old things in new ways. The five dollar challenge. Reframing challenge. Reframing reflections. Bring in the bees. Good artists copy, great artists steal. Connect and combine. Combine and share. Connect and combine challenge. Connect and combine reflection. Are you paying attention?. Observation: Are you paying attention. Field observations with fresh eyes. Recognizing opportunity in the rain. Challenge: Observation lab. Challenge: Paying attention. Spark a revolution. Reframing problems. Using old things in new ways. The five dollar challenge. Reframing challenge. Reframing reflections. Bring in the bees. Good artists copy, great artists steal. Connect and combine. Combine and share. Connect and combine challenge. Connect and combine reflection.

In this topic, we'll analyze, graph and solve quadratic equations. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Example 3: Solving a quadratic equation by factoring. Example 4: Solving a quadratic equation by factoring. Solving quadratics by factoring. Solving quadratics by factoring 2. Solving Quadratic Equations by Square Roots. Example: Solving simple quadratic. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square (old school). Example: Completing perfect square trinomials. Example 1: Completing the square. Example 2: Completing the square. Example 3: Completing the square. Example 4: Completing the square. Example 5: Completing the square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Example: Quadratics in standard form. Proof of Quadratic Formula. Example 1: Using the quadratic formula. Example 2: Using the quadratic formula. Example 3: Using the quadratic formula. Example 4: Applying the quadratic formula. Example 5: Using the quadratic formula. Quadratic formula. Example: Complex roots for a quadratic. Quadratic formula with complex solutions. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Graphing a parabola with a table of values. Parabola vertex and axis of symmetry. Graphing a parabola by finding the roots and vertex. Finding the vertex of a parabola example. Vertex of a parabola. Multiple examples graphing parabolas using roots and vertices. Graphing a parabola using roots and vertex. Graphing parabolas in standard form. Graphing a parabola in vertex form. Graphing parabolas in vertex form. Graphing parabolas in all forms. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Using the focus and directrix to find the equation of a parabola. Parabola intuition 3. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Solving a quadratic by factoring. CA Algebra I: Factoring Quadratics. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. CA Algebra I: Completing the Square. Introduction to the quadratic equation. Quadratic Equation part 2. Quadratic Formula (proof). CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Example 3: Solving a quadratic equation by factoring. Example 4: Solving a quadratic equation by factoring. Solving quadratics by factoring. Solving quadratics by factoring 2. Solving Quadratic Equations by Square Roots. Example: Solving simple quadratic. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square (old school). Example: Completing perfect square trinomials. Example 1: Completing the square. Example 2: Completing the square. Example 3: Completing the square. Example 4: Completing the square. Example 5: Completing the square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Example: Quadratics in standard form. Proof of Quadratic Formula. Example 1: Using the quadratic formula. Example 2: Using the quadratic formula. Example 3: Using the quadratic formula. Example 4: Applying the quadratic formula. Example 5: Using the quadratic formula. Quadratic formula. Example: Complex roots for a quadratic. Quadratic formula with complex solutions. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Graphing a parabola with a table of values. Parabola vertex and axis of symmetry. Graphing a parabola by finding the roots and vertex. Finding the vertex of a parabola example. Vertex of a parabola. Multiple examples graphing parabolas using roots and vertices. Graphing a parabola using roots and vertex. Graphing parabolas in standard form. Graphing a parabola in vertex form. Graphing parabolas in vertex form. Graphing parabolas in all forms. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Using the focus and directrix to find the equation of a parabola. Parabola intuition 3. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Solving a quadratic by factoring. CA Algebra I: Factoring Quadratics. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. CA Algebra I: Completing the Square. Introduction to the quadratic equation. Quadratic Equation part 2. Quadratic Formula (proof). CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots.

Get a better understanding of how your lungs help you to sing and survive!. Meet the lungs. People and plants. The Bronchial Tree. Inhaling and Exhaling. How does Lung Volume Change?. The Lungs and Pulmonary System. Alveolar Gas Equation - Part 1. Alveolar Gas Equation - Part 2. O2 and CO2 solubility. Henry's law. Graham's Law of Diffusion. Fick's Law of Diffusion. Oxygen Movement from Alveoli to Capillaries. Peripheral Chemoreceptors. Central Chemoreceptors. The Respiratory Center. Sneeze, Cough, and Hiccup. Meet the lungs. People and plants. The Bronchial Tree. Inhaling and Exhaling. How does Lung Volume Change?. The Lungs and Pulmonary System. Alveolar Gas Equation - Part 1. Alveolar Gas Equation - Part 2. O2 and CO2 solubility. Henry's law. Graham's Law of Diffusion. Fick's Law of Diffusion. Oxygen Movement from Alveoli to Capillaries. Peripheral Chemoreceptors. Central Chemoreceptors. The Respiratory Center. Sneeze, Cough, and Hiccup.

Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!. What is Preload?. What is afterload?. Increasing the Heart's Force of Contraction. Reimagine the Pressure Volume Relationship. What is Contractility?. Getting Ea (Arterial Elastance) from the PV Loop. Arterial Elastance (Ea) and Afterload. Arterial Elastance (Ea) and Preload. Stroke Work in PV Loops and Boxes. Contractility, Ea, and Preload Effects on PV Boxes. What is Preload?. What is afterload?. Increasing the Heart's Force of Contraction. Reimagine the Pressure Volume Relationship. What is Contractility?. Getting Ea (Arterial Elastance) from the PV Loop. Arterial Elastance (Ea) and Afterload. Arterial Elastance (Ea) and Preload. Stroke Work in PV Loops and Boxes. Contractility, Ea, and Preload Effects on PV Boxes.

Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!. Why Doesn't the Heart Rip?. What is Preload?. Preload and Pressure. Preload Stretches out the Heart Cells. Frank-Starling Mechanism. Sarcomere length-tension relationship. Active contraction vs. passive recoil. What is afterload?. Increasing the Heart's Force of Contraction. Why Doesn't the Heart Rip?. What is Preload?. Preload and Pressure. Preload Stretches out the Heart Cells. Frank-Starling Mechanism. Sarcomere length-tension relationship. Active contraction vs. passive recoil. What is afterload?. Increasing the Heart's Force of Contraction.

Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation. Fiscal and monetary policy. Aggregate Demand. Shifts in Aggregate Demand. Long-Run Aggregate Supply. Short Run Aggregate Supply. Demand-Pull Inflation under Johnson. Real GDP driving Price. Cost Push Inflation. The Business Cycle. Monetary and Fiscal Policy. Tax Lever of Fiscal Policy. Keynesian Economics. Risks of Keynesian Thinking. Aggregate Demand. Shifts in Aggregate Demand. Long-Run Aggregate Supply. Short Run Aggregate Supply. Demand-Pull Inflation under Johnson. Real GDP driving Price. Cost Push Inflation. The Business Cycle. Monetary and Fiscal Policy. Tax Lever of Fiscal Policy. Keynesian Economics. Risks of Keynesian Thinking.

Humans have been making art for tens of thousands of years, long before there was writing. Why was Egyptian art obsessed with death? Why did the ancient Greeks seek the perfect human form? How did the ancient Romans use art as state propaganda? Why was the naturalism of ancient Greek and Roman art abandoned with the rise of Christianity? This topic explores the art of the ancient world, from the Venus of Willendorf to a 6th-Century Chinese Bodhisattva. Prehistoric Art: Paleolithic Origins. Nude Woman (Venus of Willendorf). The Neolithic Revolution. Jade Cong. Prehistory: Proto-writing. Prehistoric Art Quiz. Introduction. Ancient History: The Alphabet. Sumerian Art: Standard of Ur. Sumerian Art: Great Lyre from the "King's Grave" at Ur. Akkadian Art: Victory Stele of Naram-Sin. Babylonian Art: Law Code Stele of King Hammurabi. Ashurbanipal Hunting Lions (Assyrian). Assyrian Art: Human Headed Winged Lion and Bull (Lamassu). Neo-Babylonian Art: Ishtar Gate and Processional Way. Ancient Near Eastern Art. Introduction. Egyptian Art. Materials & Techniques. Ancient Near Eastern & Ancient Egyptian Art. Old Kingdom: Seated Scribe. New Kingdom: House Altar with Akhenaten, Nefertiti and Three Daughters. Portrait Head of Queen Tiye with a Crown of Two Feathers. New Kingdom: Thutmose's Bust of Nefertiti. Judgement in the Presence of Osiris, Hunefer's Book of the Dead. New Kingdom: Ramesses II. Ptolemaic: Rosetta Stone. Ancient Egypt. Ancient Greece and Rome. Ancient Greek and Roman Art. Geometric: Terracotta Krater. Archaic: Exekias, Attic black figure amphora with Ajax and Achilles playing a game. Archaic: Exekias, Dionysos Kylix, c. 530 B.C.E.. Archaic: Mixing Vessel with Odysseus Escaping from the Cyclops's Cave. Archaic: New York Kouros. The Classical Orders. Archaic and Early Classical: Ancient Greek Temples at Paestum, Italy. Archaic and Early Classical: East and West Pediments, Temple of Aphaia, Aegina. Early Classical: Polykleitos, Doryphoros (Spear-Bearer). Classical: Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze. Classical: Parthenon Frieze. Classical: Sculpture from the Parthenon's East Pediment. Classical: Parthenon Metopes. Classical: Caryatid and Column from the Erechtheion. Late Classical: Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon). Late Classical: Lysippos, Apoxyomenos (Scraper), c. 330 B.C.E. (Roman copy). Late Classical: After Praxiteles, Venus (Roman Copy). Hellenistic: Barberini Faun. Hellenistic: Dying Gaul. Hellenistic: Nike of Samothrace. Hellenistic: The Pergamon Altar. Hellenistic: Apollonius, Boxer at Rest. Hellenistic: Alexander Mosaic. Hellenistic: Laoco

Basic trigonometry. Example: Using soh cah toa. Trigonometry 0.5. Basic trigonometry II. Trigonometry 1. Secant (sec), cosecant (csc) and cotangent (cot) example. Example: Using trig to solve for missing information. Reciprocal trig functions. Trigonometry 1.5. Example: Calculator to evaluate a trig function. Example: Trig to solve the sides and angles of a right triangle. Trigonometry 2. Example: Solving a 30-60-90 triangle. Special right triangles. Using Trig Functions. Using Trig Functions Part II. Introduction to radians. Radian and degree conversion practice. Example: Radian measure and arc length. Example: Converting degrees to radians. Degrees to radians. Example: Converting radians to degrees. Radians to degrees. Radians and degrees. Radians and degrees. Unit circle definition of trig functions. Example: Unit circle definition of sin and cos. Example: Using the unit circle definition of trig functions. Example: Trig function values using unit circle definition. Example: The signs of sine and cosecant. Unit Circle Manipulative. Unit circle. Example: Graph, domain, and range of sine function. Example: Graph of cosine. Example: Intersection of sine and cosine. Example: Amplitude and period. Example: Amplitude and period transformations. Example: Amplitude and period cosine transformations. Example: Figure out the trig function. Graphs of sine and cosine. Graph of the sine function. Graphs of trig functions. Graphing trig functions. More trig graphs. Determining the equation of a trigonometric function. Inverse Trig Functions: Arcsin. Inverse Trig Functions: Arccos. Inverse Trig Functions: Arctan. Example: Calculator to evaluate inverse trig function. Inverse trig functions. Tau versus Pi. Pi Is (still) Wrong.. Basic trigonometry. Example: Using soh cah toa. Trigonometry 0.5. Basic trigonometry II. Trigonometry 1. Secant (sec), cosecant (csc) and cotangent (cot) example. Example: Using trig to solve for missing information. Reciprocal trig functions. Trigonometry 1.5. Example: Calculator to evaluate a trig function. Example: Trig to solve the sides and angles of a right triangle. Trigonometry 2. Example: Solving a 30-60-90 triangle. Special right triangles. Using Trig Functions. Using Trig Functions Part II. Introduction to radians. Radian and degree conversion practice. Example: Radian measure and arc length. Example: Converting degrees to radians. Degrees to radians. Example: Converting radians to degrees. Radians to degrees. Radians and degrees. Radians and degrees. Unit circle definition of trig functions. Example: Unit circle definition of sin and cos. Example: Using the unit circle definition of trig functions. Example: Trig function values using unit circle definition. Example: The signs of sine and cosecant. Unit Circle Manipulative. Unit circle. Example: Graph, domain, and range of sine function. Example: Graph of cosine. Example: Intersection of sine and cosine. Example: Amplitude and period. Example: Amplitude and period transformations. Example: Amplitude and period cosine transformations. Example: Figure out the trig function. Graphs of sine and cosine. Graph of the sine function. Graphs of trig functions. Graphing trig functions. More trig graphs. Determining the equation of a trigonometric function. Inverse Trig Functions: Arcsin. Inverse Trig Functions: Arccos. Inverse Trig Functions: Arctan. Example: Calculator to evaluate inverse trig function. Inverse trig functions. Tau versus Pi. Pi Is (still) Wrong..

Trigonometry Identity Review/Fun. Trigonometric Identities. Examples using Pythagorean identities to simplify trigonometric expressions. Pythagorean identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trig identities part 2 (part 4 if you watch the proofs). Trig identies part 3 (part 5 if you watch the proofs). Cosine addition identity example. Double angle formula for cosine example. Addition and subtraction trig identities. Navigation Word Problem. Fun Trig Problem. IIT JEE Trigonometry Problem 1. IIT JEE Trigonometric Maximum. IIT JEE Trigonometric Constraints. Trigonometric System Example. 2003 AIME II Problem 11. 2003 AIME II Problem 14. Trigonometry word problems (part 1). Trigonometry word problems (part 2). Ferris Wheel Trig Problem. Ferris Wheel Trig Problem (part 2). Law of cosines example. Proof of the law of cosines. Law of cosines. Proof: Law of Sines. Trigonometry Identity Review/Fun. Trigonometric Identities. Examples using Pythagorean identities to simplify trigonometric expressions. Pythagorean identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trig identities part 2 (part 4 if you watch the proofs). Trig identies part 3 (part 5 if you watch the proofs). Cosine addition identity example. Double angle formula for cosine example. Addition and subtraction trig identities. Navigation Word Problem. Fun Trig Problem. IIT JEE Trigonometry Problem 1. IIT JEE Trigonometric Maximum. IIT JEE Trigonometric Constraints. Trigonometric System Example. 2003 AIME II Problem 11. 2003 AIME II Problem 14. Trigonometry word problems (part 1). Trigonometry word problems (part 2). Ferris Wheel Trig Problem. Ferris Wheel Trig Problem (part 2). Law of cosines example. Proof of the law of cosines. Law of cosines. Proof: Law of Sines.

Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer). 2011 Calculus AB Free Response #1a. 2011 Calculus AB Free Response #1 parts b c d. 2011 Calculus AB Free Response #2 (a & b). 2011 Calculus AB Free Response #2 (c & d). 2011 Calculus AB Free Response #3 (a & b). 2011 Calculus AB Free Response #3 (c). 2011 Calculus AB Free Response #4a. 2011 Calculus AB Free Response #4b. 2011 Calculus AB Free Response #4c. 2011 Calculus AB Free Response #4d. 2011 Calculus AB Free Response #5a. 2011 Calculus AB Free Response #5b. 2011 Calculus AB Free Response #5c.. 2011 Calculus AB Free Response #6a. 2011 Calculus AB Free Response #6b. 2011 Calculus AB Free Response #6c. AP Calculus BC Exams: 2008 1 a. AP Calculus BC Exams: 2008 1 b&c. AP Calculus BC Exams: 2008 1 c&d. AP Calculus BC Exams: 2008 1 d. Calculus BC 2008 2 a. Calculus BC 2008 2 b &c. Calculus BC 2008 2d. 2011 Calculus BC Free Response #1a. 2011 Calculus BC Free Response #1 (b & c). 2011 Calculus BC Free Response #1d. 2011 Calculus BC Free Response #3a. 2011 Calculus BC Free Response #3 (b & c). 2011 Calculus BC Free Response #6a. 2011 Calculus BC Free Response #6b. 2011 Calculus BC Free Response #6c. 2011 Calculus BC Free Response #6d. 2011 Calculus AB Free Response #1a. 2011 Calculus AB Free Response #1 parts b c d. 2011 Calculus AB Free Response #2 (a & b). 2011 Calculus AB Free Response #2 (c & d). 2011 Calculus AB Free Response #3 (a & b). 2011 Calculus AB Free Response #3 (c). 2011 Calculus AB Free Response #4a. 2011 Calculus AB Free Response #4b. 2011 Calculus AB Free Response #4c. 2011 Calculus AB Free Response #4d. 2011 Calculus AB Free Response #5a. 2011 Calculus AB Free Response #5b. 2011 Calculus AB Free Response #5c.. 2011 Calculus AB Free Response #6a. 2011 Calculus AB Free Response #6b. 2011 Calculus AB Free Response #6c. AP Calculus BC Exams: 2008 1 a. AP Calculus BC Exams: 2008 1 b&c. AP Calculus BC Exams: 2008 1 c&d. AP Calculus BC Exams: 2008 1 d. Calculus BC 2008 2 a. Calculus BC 2008 2 b &c. Calculus BC 2008 2d. 2011 Calculus BC Free Response #1a. 2011 Calculus BC Free Response #1 (b & c). 2011 Calculus BC Free Response #1d. 2011 Calculus BC Free Response #3a. 2011 Calculus BC Free Response #3 (b & c). 2011 Calculus BC Free Response #6a. 2011 Calculus BC Free Response #6b. 2011 Calculus BC Free Response #6c. 2011 Calculus BC Free Response #6d.

Things in our universe can be unimaginably large and small. In this topic, we'll try to imagine the unimaginable!. Scale of the Large. Scale of the Small. Introduction to Light. Four Fundamental Forces. Scale of Earth and Sun. Scale of Solar System. Scale of Distance to Closest Stars. Scale of the Galaxy. Intergalactic Scale. Hubble Image of Galaxies. Cosmological Time Scale 1. Cosmological Time Scale 2. Big Bang Introduction. Radius of Observable Universe. (Correction) Radius of Observable Universe. Red Shift. Cosmic Background Radiation. Cosmic Background Radiation 2. Hubble's Law. A Universe Smaller than the Observable. Scale of the Large. Scale of the Small. Introduction to Light. Four Fundamental Forces. Scale of Earth and Sun. Scale of Solar System. Scale of Distance to Closest Stars. Scale of the Galaxy. Intergalactic Scale. Hubble Image of Galaxies. Cosmological Time Scale 1. Cosmological Time Scale 2. Big Bang Introduction. Radius of Observable Universe. (Correction) Radius of Observable Universe. Red Shift. Cosmic Background Radiation. Cosmic Background Radiation 2. Hubble's Law. A Universe Smaller than the Observable.

Consumption function. Marginal propensity to consume and multiplier. Keynesian Cross and IS-LM model. MPC and Multiplier. Mathy Version of MPC and Multiplier (optional). Consumption Function Basics. Generalized Linear Consumption Function. Consumption Function with Income Dependent Taxes. Keynesian Cross. Details on Shifting Aggregate Planned Expenditures. Keynesian Cross and the Multiplier. Investment and Real Interest Rates. Connecting the Keynesian Cross to the IS-Curve. Loanable Funds Interpretation of IS Curve. LM part of the IS-LM model. Government Spending and the IS-LM model. MPC and Multiplier. Mathy Version of MPC and Multiplier (optional). Consumption Function Basics. Generalized Linear Consumption Function. Consumption Function with Income Dependent Taxes. Keynesian Cross. Details on Shifting Aggregate Planned Expenditures. Keynesian Cross and the Multiplier. Investment and Real Interest Rates. Connecting the Keynesian Cross to the IS-Curve. Loanable Funds Interpretation of IS Curve. LM part of the IS-LM model. Government Spending and the IS-LM model.

Balance of payments. Current account. Capital account. Currency reserves and speculative attacks. Balance of Payments- Current Account. Balance of Payments- Capital Account. Why Current and Capital Accounts Net Out. Accumulating Foreign Currency Reserves. Using Reserves to Stabilize Currency. Speculative Attack on a Currency. Financial Crisis in Thailand Caused by Speculative Attack. Math Mechanics of Thai Banking Crisis. Balance of Payments- Current Account. Balance of Payments- Capital Account. Why Current and Capital Accounts Net Out. Accumulating Foreign Currency Reserves. Using Reserves to Stabilize Currency. Speculative Attack on a Currency. Financial Crisis in Thailand Caused by Speculative Attack. Math Mechanics of Thai Banking Crisis.

Check out the flow of positive charge through the heart that happens every time your heart beats! Learn how the heart is able to keep a regular rate and rhythm throughout your life. Membrane Potentials - Part 1. Membrane Potentials - Part 2. Permeability and Membrane Potentials. Action Potentials in Pacemaker Cells. Action Potentials in Cardiac Myocytes. Reseting Cardiac Concentration Gradients. Electrical System of the Heart. Depolarization Waves Flowing through the Heart. A Race to Keep Pace!. Thinking about Heartbeats. New Perspective on the Heart. Membrane Potentials - Part 1. Membrane Potentials - Part 2. Permeability and Membrane Potentials. Action Potentials in Pacemaker Cells. Action Potentials in Cardiac Myocytes. Reseting Cardiac Concentration Gradients. Electrical System of the Heart. Depolarization Waves Flowing through the Heart. A Race to Keep Pace!. Thinking about Heartbeats. New Perspective on the Heart.

Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl. Partial Derivatives. Partial Derivatives 2. Gradient 1. Gradient of a scalar field. Divergence 1. Divergence 2. Divergence 3. Curl 1. Curl 2. Curl 3. Partial Derivatives. Partial Derivatives 2. Gradient 1. Gradient of a scalar field. Divergence 1. Divergence 2. Divergence 3. Curl 1. Curl 2. Curl 3.

Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem. Introduction to the Line Integral. Line Integral Example 1. Line Integral Example 2 (part 1). Line Integral Example 2 (part 2). Position Vector Valued Functions. Derivative of a position vector valued function. Differential of a vector valued function. Vector valued function derivative example. Line Integrals and Vector Fields. Using a line integral to find the work done by a vector field example. Parametrization of a Reverse Path. Scalar Field Line Integral Independent of Path Direction. Vector Field Line Integrals Dependent on Path Direction. Path Independence for Line Integrals. Closed Curve Line Integrals of Conservative Vector Fields. Example of Closed Line Integral of Conservative Field. Second Example of Line Integral of Conservative Vector Field. Green's Theorem Proof Part 1. Green's Theorem Proof (part 2). Green's Theorem Example 1. Green's Theorem Example 2. Constructing a unit normal vector to a curve. 2 D Divergence Theorem. Conceptual clarification for 2-D Divergence Theorem. Introduction to the Line Integral. Line Integral Example 1. Line Integral Example 2 (part 1). Line Integral Example 2 (part 2). Position Vector Valued Functions. Derivative of a position vector valued function. Differential of a vector valued function. Vector valued function derivative example. Line Integrals and Vector Fields. Using a line integral to find the work done by a vector field example. Parametrization of a Reverse Path. Scalar Field Line Integral Independent of Path Direction. Vector Field Line Integrals Dependent on Path Direction. Path Independence for Line Integrals. Closed Curve Line Integrals of Conservative Vector Fields. Example of Closed Line Integral of Conservative Field. Second Example of Line Integral of Conservative Vector Field. Green's Theorem Proof Part 1. Green's Theorem Proof (part 2). Green's Theorem Example 1. Green's Theorem Example 2. Constructing a unit normal vector to a curve. 2 D Divergence Theorem. Conceptual clarification for 2-D Divergence Theorem.

Overview of how to set up accounts for students under 13 and 13+, how to add a coach on Khan Academy, and how to separate students into class lists. For more information on getting started and technology needs, check out http://www.khanacademy.org/toolkit/getting-started. Creating Khan Academy accounts for users ages 13+. Creating Khan Academy accounts for users under age 13. Adding a coach and creating class lists on Khan Academy. How to delete a student or class list. How to add a coach on Khan Academy. Creating Khan Academy accounts for users ages 13+. Creating Khan Academy accounts for users under age 13. Adding a coach and creating class lists on Khan Academy. How to delete a student or class list. How to add a coach on Khan Academy.