Instructional Videos for Calculus

The videos below were created to support students at Cambridge Rindge and Latin School in their learning of content in our Calculus course. The topic and the link to a video covering that content are below.

Lesson # Topic
1 Introduction to Calculus A
2 Introduction to Limits
3 Limits Extended
4 Continuity
5 Equation of a Tangent Line
6 Differentiability
7 Derivative Rules
7b Product and Quotient Rule Proofs
8 Motion of an Object
9 Trigonometric Derivatives
10 Chain Rule
11 Derivatives of Parametric Functions
12 Implicit Differentiation
13 Derivatives of Inverse Trigonometric Functions
14a What is e? (Calculus)
14 Derivatives of Exponential and Logarithmic Functions
15 L'Hopitals Rule
16 Extreme Values
17 Increasing and Decreasing Intervals
18 Concavity
19 Optimization
20 Linearization
21 Related Rates
22 Introduction to Calculus B
23 Rectangular Approximating Method
24 Introduction to Integrals
25 Integration Rules
26 Average Value
27 Fundamental Theorem of Calculus
28 Trapezoidal Method
29 U-substitution
30 Slope Fields and Solving Differential Equations
31 Euler's Method
32 Integration by Parts
33 Integration by Partial Fractions
34 Area Between Curves
35 Area Between Polar Curves
36 Volumes of Solids with Known Cross-Sections
37 Volumes of Solids of Revolution - Washer Method
38 Volumes of Solids of Revolution - Shell Method
39 Volumes of Solids of Revolution - Off axis
40 Length of a Curve
41 Net Change
42 Work
43 Relative Rates of Growth
44 Improper Integrals
45 Taylor Series
46 Lagrange Error
47 Convergence Tests
47b Convergence Tests Update
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