MATH 1201 - Calculus

Syllabus

1. Functions and Graphs: Polynomial, Rational, Exponential, Logarithm, and Trigonometric Functions
2. Limits and Continuity - Limit of a function, Limit laws, Continuity/Discontinuity of a function.
3. Derivative of a function, Derivative rules of Algebraic, and Trigonometric Functions including Power, Sum, Difference, Product, and Quotient rules
4. The Chain Rule and Implicit Differentiation
5. Derivatives of Inverse Functions, Exponential and Logarithmic Functions
6. Applications of Derivatives, Extreme Values of Functions, and the Mean Value Theorem
7. Newton’s Method, Antiderivative, and L’Hopital’s Rule
8. Indefinite Integrals, Definite Integrals, and Fundamental Theorem of Calculus