Course Topics are organized as six modules with five granular topics covered under each module. Click through below to see all modules/topics for this course.
01 - Limits & Continuity
Definitions and Notation
Fundamental Derivative Rules (connecting these to the notion of derivatives of a limit)
Derivatives of Logarithmic and Exponential Functions
Derivatives of Trigonometric Functions
Implicit Differentiation
02 - Introduction to Differentiation
Definitions and Notation
Fundamental Derivative Rules (connecting these to the notion of derivatives of a limit)
Derivatives of Logarithmic and Exponential Functions
Derivatives of Trigonometric Functions
Implicit Differentiation
03 - Applications of Derivatives
Extrema, Graphing, Concavity
Optimization (word problems)
Approximations, Linearization, L'Hôpital's Rule
Related Rates
Mean / Intermediate Value Theorem
04 - Introduction to Integration
Definition, notion of an integral
Fundamental Theorem of Calculus - Statement and Intuition
Applications of the Fundamental Theorem of Calculus
Calculating Antiderivatives
Various Riemann sums
05 - Methods of Integration
U-Substitution
Trigonometric Substitution
Integration by Parts
Partial Fraction Decomposition
Improper Integrals
06 - Definite Integrals and Applications
Definite Integral Manipulations and Simplifications
