Course material and topics

 

Section in Textbook Topic
1.1-1.2 Functions
1.3 Limits
1.4 Limit Laws
1.5 Continuity
1.6 Infinity
2.1-2.2 Derivatives
2.3 Differentiation Rules
2.4 Product and Quotient Rules
2.5 Chain Rule
2.6 Implicit Differentiation
2.8 Linear Approximation
3.1-3.2 Exponential and Logarithmic Functions
3.3-3.4 Derivatives of Exponential Functions
3.5 Inverse Trigonometric Functions
3.7 L’Hôpital’s Rule
4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
4.3-4.4 Derivatives and Shapes of Curves
4.5 Optimization
4.7 Antiderivatives
5.1-5.2 Areas, Distances and the Definite Integral
5.3 The Second Fundamental Theorem of Calculus
5.4 The First Fundamental Theorem of Calculus