Stony Brook Mathematics
Course Videos
Legend:
≡ View Video
≡ Class Notes
≡ Homework Problems
≡ Homework Solutions
≡ Video Transcript
► MAP 102/103: Proficiency Algebra
Numbers and Operations (
,
,
,
)
Numerical Expressions (
,
,
,
)
Variables and Algebraic Expressions (
,
,
,
)
Addition and Multiplication (
,
,
,
)
Subtraction and Division (
,
,
,
)
Distributivity (
,
,
,
)
Powers (
,
,
,
)
Power rules (
,
,
,
)
Polynomials (
,
,
,
)
Operations with Polynomials (
,
,
,
)
Rational Expressions (
,
,
,
)
Operations with Rational Expressions (
,
,
,
)
Composing Algebraic Expressions (
,
,
,
)
Equalities, Identities and Equations (
,
,
,
)
Linear Equations (
,
,
,
)
Applications of Linear Equations (
,
,
,
)
Linear Inequalities (
,
,
,
)
Absolute Value (
,
,
,
)
Lines on a Plane. Part 1 (
,
)
Lines on a Plane. Part 2 (
,
,
,
)
Linear Systems. Part 1 (
,
,
,
)
Linear Systems. Part 2 (
,
,
,
)
Linear Systems. Part 3 (
,
,
,
)
Radicals (
,
,
,
)
Radicals as Powers with Rational Exponents (
,
,
,
)
Quadratic Equations (
,
,
,
)
Quadratic Formula (
,
,
,
)
Factoring Quadratic Polynomials (
,
,
,
)
Equations Reducible to Quadratic (
,
,
,
)
Parabolas (
,
,
,
)
Quadratic Inequalities (
,
,
,
)
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 10
b: 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 (
,
)