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Learn Calculus 1 in One Video

Math Sorcerer via YouTube

Overview

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This course aims to teach College Level Calculus 1 in one video. The learning outcomes include understanding limits, derivatives, integrals, and various calculus concepts. The course covers skills such as computing limits, applying derivative rules, solving related rates problems, and integrating functions. The teaching method involves a comprehensive explanation of each topic with examples and derivations. The intended audience for this course is students studying Calculus 1 or anyone interested in learning or reviewing calculus concepts in a condensed format.

Syllabus

2) Computing Limits from a Graph .
3) Computing Basic Limits by plugging in numbers and factoring .
4) Limit using the Difference of Cubes Formula 1 .
5) Limit with Absolute Value .
6) Limit by Rationalizing .
7) Limit of a Piecewise Function .
8) Trig Function Limit Example 1 .
9) Trig Function Limit Example 2 .
10) Trig Function Limit Example 3 .
11) Continuity .
12) Removable and Nonremovable Discontinuities .
13) Intermediate Value Theorem .
14) Infinite Limits .
15) Vertical Asymptotes .
16) Derivative (Full Derivation and Explanation) .
17) Definition of the Derivative Example .
18) Derivative Formulas .
19) More Derivative Formulas .
20) Product Rule .
21) Quotient Rule .
22) Chain Rule .
23) Average and Instantaneous Rate of Change (Full Derivation) .
24) Average and Instantaneous Rate of Change (Example) .
25) Position, Velocity, Acceleration, and Speed (Full Derivation) .
26) Position, Velocity, Acceleration, and Speed (Example) .
27) Implicit versus Explicit Differentiation .
28) Related Rates .
29) Critical Numbers .
30) Extreme Value Theorem .
31) Rolle's Theorem .
32) The Mean Value Theorem .
33) Increasing and Decreasing Functions using the First Derivative .
34) The First Derivative Test .
35) Concavity, Inflection Points, and the Second Derivative .
36) The Second Derivative Test for Relative Extrema .
37) Limits at Infinity .
38) Newton's Method .
39) Differentials: Deltay and dy .
40) Indefinite Integration (theory) .
41) Indefinite Integration (formulas) .
41) Integral Example .
42) Integral with u substitution Example 1 .
43) Integral with u substitution Example 2 .
44) Integral with u substitution Example 3 .
45) Summation Formulas .
46) Definite Integral (Complete Construction via Riemann Sums) .
47) Definite Integral using Limit Definition Example .
48) Fundamental Theorem of Calculus .
49) Definite Integral with u substitution .
50) Mean Value Theorem for Integrals and Average Value of a Function .
51) Extended Fundamental Theorem of Calculus (Better than 2nd FTC) .
error here: forgot to cube the (3/2) here at the end, otherwise ok!.
53) The Natural Logarithm ln(x) Definition and Derivative .
54) Integral formulas for 1/x, tan(x), cot(x), csc(x), sec(x), csc(x) .
55) Derivative of e^x and it's Proof .
56) Derivatives and Integrals for Bases other than e .
57) Integration Example 1 .
58) Integration Example 2 .
59) Derivative Example 1 .
60) Derivative Example 2 .

Taught by

The Math Sorcerer

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