Math 2120 Course Outline

Week1: Anti-differentiation review, The Definite Integral and Net Change

Week 2: The Definite Integral and Area under a Graph, Area in the XY -plane, Applications of the Definite Integral

Week 3: Multivariable Functions, Partial Derivatives

Week 4: Maxima and Minima for Multivariable Functions

Week 5: EXAM I, Lagrange Multipliers and Constrained

Week 6: Radian measure of angle, The Sine, and Cosine, Trigonometric Identities

Week 7: Verifying Trigonometric Identities, Differentiation and Integration of Sine and Cosine

Week 8: Tangent and Other Trig Functions, EXAM II

Week 9: Integration by Substitution, Integration by Parts

Week 10: Evaluation of Definite Integrals, Approximation of definite integral: Midpoint, Trapezoidal, and Simpson Rule

Week 11: Some Applications of the integral

Week 12: Improper Integrals, EXAM III

Week 13: Differential Equations, Solutions of differential equation, First order differential equation, Second order differential equation

Week 14: Taylor Polynomials, The Newton-Raphson Algorithm, Infinite Series

Week 15: Series with Positive Terms, Taylor Series

Week 16: Final Review and EXAM