Math 2A Suggested Syllabi (based on 29 lectures) Text: Calculus: Early Transcendentals, Stewart, 7th Edition/UCI Custom Edition 1 2 3 4 5 6 7 8 9 10 11 12 Section Topic Four ways to represent a function. Mathematical models, 1.1, 1.2,1.3 Transformations of graphs 1.5, 1.6 Exponential Functions. Start 1.6 1.6 Inverse Functions and logarithms 2.1, 2.2 Tangent and Velocity Problems, Limit of a Function 2.3 Calculating Limits from Limit Laws 2.5 Continuity 2.6 Limits at Infinity, Horizontal Asymptotes 2.7 Derivative and Rate of change 2.8 Derivative as a function Review Midterm # 1 Derivative of a Polynomial and Exponential Function, 3.1, 3.2 Product and Quotient Rules 13 3.2, 3.3 Derivative of Trigonometric Functions 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3.4 3.5 3.6, 3.8 3.8, 3.9 3.9 3.1 4.1 4.2 4.3 4.4 4.5 4.7 4.9 Chain Rule Implicit Differentiation Derivative of Logarithm Functions Exponential Growth and Decay Related Rates Linear Approximation and Differentials, Review Midterm # 2 Maximum and Minimum Values Mean Value Theorem How derivatives affect the shape of a graph Intermediate Forms and L’Hospital’s rule Curve Sketching Optimization Antiderivatives Catch-up and Review Review for final In case of a quarter with 28 lectures, skip the “Catch-up and review” day prior to the final. *Optional: Section 2.4 - The Precise Definition of a Limit may be covered if time permits