# Stony Brook MathematicsCourse Videos

 Legend: ≡ View Video ≡ Class Notes ≡ Homework Problems ≡ Homework Solutions ≡ Video Transcript

► MAP 102/103: Proficiency Algebra
1. Numbers and Operations  (, , , )
2. Numerical Expressions  (, , , )
3. Variables and Algebraic Expressions  (, , , )
4. Addition and Multiplication  (, , , )
5. Subtraction and Division  (, , , )
6. Distributivity  (, , , )
7. Powers  (, , , )
8. Power rules  (, , , )
9. Polynomials  (, , , )
10. Operations with Polynomials  (, , , )
11. Rational Expressions  (, , , )
12. Operations with Rational Expressions  (, , , )
13. Composing Algebraic Expressions  (, , , )
14. Equalities, Identities and Equations  (, , , )
15. Linear Equations  (, , , )
16. Applications of Linear Equations  (, , , )
17. Linear Inequalities  (, , , )
18. Absolute Value  (, , , )
19. Lines on a Plane. Part 1  (, )
20. Lines on a Plane. Part 2  (, , , )
21. Linear Systems. Part 1  (, , , )
22. Linear Systems. Part 2  (, , , )
23. Linear Systems. Part 3  (, , , )
24. Radicals  (, , , )
25. Radicals as Powers with Rational Exponents  (, , , )
26. Quadratic Equations  (, , , )
27. Quadratic Formula  (, , , )
28. Factoring Quadratic Polynomials  (, , , )
29. Equations Reducible to Quadratic  (, , , )
30. Parabolas  (, , , )
31. Quadratic Inequalities  (, , , )
32. Practice problems for Stony Brook Math Assessment, Part I  ()

► MAT 123: Precalculus
• Definition of Sine and Cosine (in Right Triangles)  (, )
• The SOH CAH TOA mnemonic  (, , )
• Lecture 01: Introduction to Trigonometry   (, , )
• Trig values for special angles  (, )
• Lecture 02: Right-triangle Trigometry   (, , )
• The unit circle and trigonometry  (, , , )
• Radian measure  (, , )
• Lecture 03: Radian measure and trig on the unit circle   (, , )
• Lecture 04: Simple trig identities   (, , )
• Lecture 05: Other trig functions & graphs of sine and cosine   (, , )
• Graphs of sine and cosine  (, , , )
• Function notation  (, )
• Domain and range  (, )
• Lecture 06: Functions, domain and range   (, , )
• Composition of Functions  (, )
• Lecture 07: Composition of functions   (, , )
• Lecture 08: Piecewise functions, graph transformations   (, , )
• Inverse Functions  (, )
• Lecture 09: more graph transforms, inverse functions   (, , )
• Lecture 10b: Review for first midterm   (, , )
• Lecture 11: More review   (, , )
• The Slope of a Line  (, )
• Lecture 12: Lines, circles, and parabolas   (, , , )
• Rules of Exponents  (, )
• Lecture 13: Exponents, ellipses, polynomial division   (, , )
• Rational functions  (, )
• Lecture 14: Rational functions   (, , )
• What is a logarithm?  (, )
• Rules for manipulating logarithms  (, )
• Lecture 15: Exponentials and logarithms   (, , )
• Lecture 16: Compound interest, e, and the natural logarithm   (, , )
• Exponential growth and decay  (, )
• Lecture 17: Exponential growth/decay problems and logs   (, , )
• Lecture 18: Review (logs & exponentials)   (, , )
• Lecture 19: Review for midterm 2   (, , )
• Lecture 20: Trigonometry review, Law of Sines   (, , )
• Lecture 21: Law of sines, law of cosines, inverse trig functions   (, , )
• Lecture 22: Inverse trig functions   (, , )
• Lecture 23: Angle sum, double angle, and half-angle formulae   (, , )
• Lecture 24: More trig&inverse trig; basic graphs   (, , )
• Lecture 25: A garden of graphs   (, , )
• Lecture 26: Graphs and solving equations   (, , )
• Lecture 27: more equation solving; review   (, , )
• Lecture 28: more review   (, )
• Final Review:   (, )
• Midterm 1 Review:   (,

► MAT 125: Calculus A
• Lecture 01: Course info and precalculus review. January 28, 2015  (, )
• Introduction to Limits, pre-lecture  (, )
• Definition of the Limit (optional material)  (, )
• Lecture 02: Tangents, velocity, and limits. February 4, 2015  (, )
• Lecture 03: Limits, Limits involving infinity. February 9, 2015  (, )
• Definition of the Derivative, pre-lecture  (, )
• Lecture 04: Limits and Continuity. February 11, 2015  (, )
• Lecture 05: Definition of the Derivative. February 16, 2015  (, )
• Lecture 06: The function f'(x); what does f' say about f?. February 18, 2015  (, )
• Midterm I Review Session. February 22, 2015  (, )
• Lecture 07: The power rule & some review. February 23, 2015  (, )
• Lecture 08: Some more review. February 25, 2015  (, )
• The derivative of exponentials, pre-lecture  (, )
• Lecture 09: The product and quotient rules. March 2, 2015  (, )
• Lecture 10: Derivatives of trigonmetric functions. March 4, 2015  (, )
• Intuitive explanation of the Chain Rule  (, )
• Lecture 11: The chain rule. March 9, 2015  (, )
• Lecture 12: Implicit differentiation. March 11, 2015  (, )
• Lecture 13: Derivative of logarithmic functions. March 23, 2015  (, )
• Lecture 14: Derivative of inverse trig & logarithmic differentiation. March 25, 2015  (, )
• Midterm II Review Session. March 29, 2015  ()
• Lecture 15: Review for second midterm. March 30, 2015  (, )
• Lecture 16: Linear approximations and differentials . April 1, 2015  (, )
• Lecture 17: Related rates. April 6, 2015  (, )
• Lecture 18: More related rates, local maxima/minima . April 8, 2015  (, )
• Lecture 19: Max/min and curve sketching. April 13, 2015  (, )
• Lecture 20: Derivatives and the shape of curves. April 15, 2015  (, )
• Lecture 21: Optimization word problems (first 9 minutes of audio missing). April 20, 2015  (, )
• Lecture 22: More optimization, some review. April 22, 2015  (, )
• Lecture 23: l'Hopital's rule and Newton's method. April 27, 2015  ()
• Lecture 24: Antiderivatives. April 29, 2015  ()
• Lecture 25: some review for final. May 4, 2015  (, )
• Lecture 26: more review. May 6, 2015  ()
• Final Review Session . May 11, 2015  ()