# Syllabus With Links to Videos

MAT 1475 Calculus

ClassTopicVideo Resource
1The Limit of a FunctionThe Limit of a Function
2The Limit Laws The Limit Laws
3ContinuityContinuity
4Defining the DerivativeDefining the Derivative
5The Derivative as a FunctionThe Derivative as a Function
6Differentiation RulesDifferentiation Rules
7Derivatives as Rates of ChangeDerivatives as Rates of Change
8Derivatives of Trigonometric Functions Derivatives of Trigonometric Functions
9The Chain RuleThe Chain Rule
10Derivatives of Inverse FunctionsDerivatives of Inverse Functions
11Implicit Differentiation Implicit Differentiation
12Derivatives of Exponential and Logarithmic Functions Derivatives of Exponential and Logarithmic Functions
13Related Rates Related Rates
14Linear Approximations and Differentials Linear Approximations and Differentials
15Maxima and Minima Maxima and Minima
16The Mean Value TheoremThe Mean Value Theorem
17Derivatives and the Shape of a Graph Derivatives and the Shape of a Graph
18Limits at Infinity and Asymptotes Limits at Infinity and Asymptotes
19Drawing the Graph of a FunctionDrawing the Graph of a Function
20Applied OptimizationApplied Optimization
21L’Hôpital’s RuleL’Hôpital’s Rule
22Antiderivatives Antiderivatives
23Approximating Areas Approximating Areas
24The Definite Integral The Definite Integral
25The Fundamental Theorem of CalculusThe Fundamental Theorem of Calculus
26Final Exam Review Selected Final Exam Review Questions