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
2b Epsilon-delta proof (single variable)
3 One-sided limits
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 Review vectors
13 Implicit differentiation
14 Derivatives of inverse trigonometric functions
15a What is e? (Calculus)
15 Derivatives of exponential and logarithmic functions
16 Derivatives of inverse functions
17 L'Hopitals rule
18 Extreme values
19 Increasing and decreasing intervals
20 Concavity
21 Optimization
22 Linearization
23 Related Rates
24 Introduction to Calculus B
25 Rectangular approximation method
26 Introduction to integrals
27 Integration rules
28 Average value
29 Fundamental Theorem of Calculus
30 Trapezoidal method
31 U-substitution
32 Slope fields and solving differential equations
33 Euler's method
34 Integration by parts
35 Integration by partial fractions
36 Area between curves
37 Area between polar curves
38 Volumes of solids with known cross-sections
39 Volumes of solids of revolution - washer method
40 Volumes of solids of revolution - shell method
41 Volumes of solids of revolution - off axis
42 Length of a curve
43 Net change
44 Work
45 Relative rates of growth
46 Improper integrals
47 Taylor series
48 Lagrange error
49a Convergence Tests 1
49b Convergence Tests 2
49c Convergence Tests 3
50 Integration with trig sub
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