Math 1A Syllabus

Math 1A Syllabus

Week of Mon Wed Fri Topics
1/18  Holiday 1.1, 1.2 1.2, 1.3 Functions and mathematical models. Operations on functions.
1/25 1.5 1.6 2.1 Exponential functions. Inverse functions and logarithms. Tangents and velocity.
2/01 2.2 2.3 2.4 Limits. Limit laws. The precise meaning of limits.
2/08 2.5 2.6 2.7 Continuity. Asymptotes. Derivatives and rates of change.
2/15 Holiday Midterm 2.8 Derivatives as functions.
2/22 3.1 3.2, 3.3 3.4 Differentiation of polynomials and exponential functions. Products and quotients. Trigonometric functions. Chain Rule.
3/01 3.5 3.6 3.7, 3.8 Implicit differentiation. Logarithms. Rates of change. Exponential growth.
3/08 3.9, 3.10 3.10 4.1 Related Rates. Linear approximation. Maximization
3/15 4.2 4.2, 4.3 4.3 Maximization. Mean value theorem. Graphing
3/22 Spring Break
3/29 4.4 4.5 Midterm Limits again. Graphing again.
4/05 4.7 4.8 4.9 Optimization again. Newton's Method Antiderivatives.
4/12 5.1 5.2 5.2 Area. Definite integral.
4/19 5.3 5.4 5.5 The fundamental theorem. Indefinite integrals. Integration by substitution
4/26 6.1 6.2 6.5 Applications.
5/03 Review   Reading Week

The above schedule is just a rough guide and subject to change as the course progresses.