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Saxon Calculus (2nd edition)
Introduction to the Course
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How to submit homework and tests (2:26)
Recorded classes (60:08)
Lesson 1
1.A - The Real Numbers (15:04)
1.B - Fundamental Concept Review (27:11)
Lesson 2
2.A - More Concept Review (19:37)
2.B - The Graphing Calculator
Lesson 3
3.AB - The Contrapositive; The Converse and Inverse (7:13)
3.C - iff Statements (4:57)
Lesson 4
4.A - Radian Measure of Angles (5:25)
4.B - Trigonometric Ratios (12:10)
4.C - Four Quadrant Signs (10:49)
4.D - Simplifying Trigonometric Expressions (2:52)
Lesson 5
5 - Word Problem Review (14:06)
Lesson 6
6.A - Functions: Their Equations and Graphs (14:12)
6.B - Functional Notation (11:13)
6.C - Domain and Range (15:06)
Lesson 7
7.A - The Unit Circle (11:54)
7.B - Centerline, Amplitude, and Phase Angles of Sinusoids (26:11)
7.C - Period of a Function (8:17)
7.DE - Important Numbers; Exponential Functions (9:41)
Lesson 8
8.A - Pythagorean Identities (5:17)
8.B - Functions of (-ø) (8:39)
8.C - Trigonometric Identities (6:04)
8.D - Cofunctions (9:01)
8.E - Similar Triangles (12:46)
Lesson 9
9.A - Absolute Value as a Distance (10:01)
9.B - Graphing "Special" Functions (14:29)
9.C - Logarithms (2:59)
9.D - Base 10 and Base e (3:57)
9.E - Simple Logarithmic Problems (5:33)
Lesson 10
10.A - Quadratic Polynomials (10:50)
10.B - Remainder Theorem (8:02)
10.C - Synthetic Division (5:17)
10.D - Rational Roots Theorem (13:26)
Lesson 11
11.A - Continuity (2:51)
11.B - Left-hand and Right-hand Limits (13:16)
Lesson 12
12.A - Sum and Difference Identities (16:14)
12.B - Double-Angle Identities (5:12)
12.C - Half-Angle Identities (4:44)
12.D - Graphs of Logarithmic Functions (13:42)
Lesson 13
13.A - Inverse Trigonometric Functions (13:05)
13.B - Trigonometric Equations (19:26)
Lesson 14
14 - Limit of a Function (20:39)
Lesson 15
15.A - Interval Notation (8:23)
15.B- Products of Linear Factors (5:31)
15.C - Tangents (4:20)
15.D - Increasing and Decreasing Functions (4:35)
Lesson 16
16.A - Logarithms of Products and Quotients (8:21)
16.B - Logarithms of Powers (6:09)
16.C - Exponential Equations (9:12)
Lesson 17
17.AB - Infinity as a Limit; Undefined Limits (10:11)
Lesson 18
18.A - Sums, Differences, Products, and Quotients of Functions (3:16)
18.B - Composition of Functions (17:04)
Lesson 19
19.A - The Derivative (23:57)
19.B - Slopes of Curves on a Graphing Calculator (4:16)
Lesson 20
20.A - Change of Base (7:04)
20.B - Graphing Origin-Centered Conics on a Graphing Calculator (4:06)
Lesson 21
21.A - Translations of Functions (13:02)
21.B - Graphs of Rational Functions I (9:31)
Lesson 22
22.A - Binomial Expansion (16:58)
22.B - Recognizing the Equations of Conic Sections (4:58)
Lesson 23
23.A - Trigonometric Functions of nØ (10:11)
23.B - Graphing Conics on a Graphing Calculator (8:03)
Lesson 24
24.A - New Notation for the Definition of the Derivative (5:08)
24.B - The Derivative of x^n (10:25)
Lesson 25
25.A - The Constant-Multiple Rule for Derivatives (5:37)
25.B - The Derivatives of Sums and Differences (5:53)
25.C - Proof of the Derivative of a Sum (4:40)
Lesson 26
26.A - The Derivative of e^x and ln|x| (9:27)
26.B - Derivatives of sin x and cos x (5:44)
26.C - Exponential Growth and Decay (5:19)
Lesson 27
27.A - Equation of the Tangent Line (12:01)
27.B - Higher-Order Derivatives (3:50)
Lesson 28
28.A - Graphs of Rational Functions II (15:05)
28.B - A Special Limit (4:35)
Lesson 29
29.AB - Newton and Leibniz; Differentials (7:49)
Lesson 30
30.A - Graph of tan Ø (4:19)
30.B - Graphs of Reciprocal Functions (21:22)
Lesson 31
31.A - Product Rule (14:35)
31.B - Proof of Product Rule (5:56)
Lesson 32
32.A - An Antiderivative (3:30)
32.B - The Indefinite Integral (6:02)
Lesson 33
33.A - Factors of Polynomial Functions (5:42)
33.B - Graphs of Polynomial Functions (10:50)
Lesson 34
34 - Implicit Differentiation (20:40)
Lesson 35
35.AB - Integral of a Constant; Integral of kf(x) (6:59)
35.C - Integral of x^n (6:28)
Lesson 36
36.AB - Critical Numbers; A Note About Critical Numbers (12:21)
Lesson 37
37 - Differentiation by u Substitution (17:46)
Lesson 38
38.A - Integral of a Sum (7:07)
38.B - Integral of 1/x (4:22)
Lesson 39
39.A - Area Under a Curve (Upper and Lower Sums) (28:47)
39.B - Left, Right, and Midpoint Sums (13:10)
Lesson 40
40.A - Units for the Derivative (6:45)
40.B - Normal Lines (10:00)
40.C - Maximums and Minimums on a Graphing Calculator (4:19)
Lesson 41
41.A - Graphs of Rational Functions III (6:02)
41.B - Repeated Factors (5:51)
Lesson 42
42.A - The Derivative of a Quotient (8:02)
42.B - Proof of the Quotient Rule (7:19)
Lesson 43
43 - Area Under a Curve as an Infinite Summation (27:26)
Lesson 44
44.A - The Chain Rule (13:21)
44.B - Alternative Definition of the Derivative (12:03)
44.C - The Symmetric Derivative (5:24)
Lesson 45
45.A - Using f' to Characterize f (15:33)
45.B - Using f' to Find Maximums and Minimums (7:22)
Lesson 46
46 - Related-Rates Problems (22:05)
Lesson 47
47.A - Fundamental Theorem of Calculus, Part 1 (14:42)
47.B - Riemann Sums (5:52)
47.C - The Definite Integral (5:23)
Lesson 48
48.A - Derivatives of Trigonometric Functions (13:35)
48.B - Summary of Rules for Derivatives and Differentials (1:15)
Lesson 49
49.A - Concavity and Inflection Points (7:24)
49.B - Geometric Meaning of the Second Derivative (7:04)
49.C - First and Second Derivative Tests (14:04)
Lesson 50
50.A - Derivatives of Composite Functions (6:16)
50.B - Derivatives of Products and Quotients of Composite Functions (11:44)
Lesson 51
51 - Integration by Guessing (8:50)
Lesson 52
52 - Maximization and Minimization Problems (19:04)
Lesson 53
53 - Numerical Integration of Positive-Valued Functions on a Calculator (10:50)
Lesson 54
54.A - Velocity and Acceleration (12:52)
54.B - Motion Due to Gravity (7:35)
Lesson 55
55 - Mclaurin Polynomials (23:47)
Lesson 56
56.AB - More Integration by Guessing; A Word of Caution (24:17)
Lesson 57
57 - Properties of the Definite Integral (26:36)
Lesson 58
58.A - Explicit and Implicit Equations (10:28)
58.B - Inverse Functions (22:56)
Lesson 59
59.A - Computing Areas (18:42)
59.B - More Numerical Integration on a Graphing Calculator (6:23)
Lesson 60
60.A - Area Between Two Curves (14:07)
60.B - Area Between Two Curves Using a Graphing Calculator (3:19)
Lesson 61
61 - Playing Games with f, f’, and f” (10:47)
Lesson 62
62 - Work, Distance, and Rates (15:50)
Lesson 63
63 - Critical Number (Closed Interval) Theorem (19:07)
Lesson 64
64.A - Derivatives of Inverse Trigonometric Functions (14:29)
64.B - What to Memorize (5:02)
Lesson 65
65 - Falling-Body Problems (21:11)
Lesson 66
66.A - u Substitution (12:54)
66.B - Change of Variable (9:49)
66.C - Proof of the Substitution Theorem (6:16)
Lesson 67
67 - Area Involving Functions of y (13:45)
Lesson 68
68 - Even and Odd Functions (13:41)
Lesson 69
69 - Integration by Parts I (18:40)
Lesson 70
70.A - Properties of Limits (26:44)
70.B - Some Special Limits (5:18)
Lesson 71
71 - Solids of Revolution I: Disks (23:21)
Lesson 72
Derivatives of a^x (5:30)
72.B - Derivatives of log(a)x (5:26)
72.C - Derivative of |f(x)| (13:24)
Lesson 73
73.A - Integrals of a^x (8:52)
73.B - Integrals of log(a)x (2:38)
Lesson 74
74 - Fluid Force (24:44)
Lesson 75
75 - Continuity of Functions (22:59)
Lesson 76
76 - Integration of Odd Powers of sin x and cos x (20:03)
Lesson 77
77 - Pumping Fluids (21:20)
Lesson 78
78 - Particle Motion I (15:05)
Lesson 79
79 - L'Hôpital's Rule (13:47)
Lesson 80
80 - Asymptotes of Rational Functions (34:40)
Lesson 81
81 - Solids of Revolution II: Washers (19:43)
Lesson 82
82.A - Limits and Continuity (11:26)
82.B - Differentiabilty (12:16)
Lesson 83
83 - Integration of Even Powers of sin x and cos x (14:32)
Lesson 84
84 - Logarithmic Differentiation (21:27)
Lesson 85
85.A - The Mean Value Theorem (21:30)
85.B - Application of the Mean Value Theorem in Mathematics (5:04)
85.C - Proof of Rolle's Theorem (5:18)
85.D - Practical Application of the Mean Value Theorem (4:31)
Lesson 86
86 - Rules for Even and Odd Functions (14:28)
Lesson 87
87 - Solids of Revolution III: Shells (17:33)
Lesson 88
88 - Separable Differential Equations (31:27)
Lesson 89
89.A - Average Value of a Function (8:22)
89.B - Mean Value Theorem for Integrals (3:35)
89.C - Proof of the Mean Value Theorem for Integrals (5:00)
Lesson 90
90 - Particle Motion II (22:58)
Lesson 91
91 - Product and Difference Indeterminate Forms (14:53)
Lesson 92
92 - Derivatives of Inverse Functions (17:52)
Lesson 93
93 - Newton's Method (14:34)
Lesson 94
94 - Solids of Revolution IV: Displaced Axes of Revolution (24:01)
Lesson 95
95.A - Trapezoidal Rule (14:02)
95.B - Error Bound for Trapezoidal Rule (7:37)
Lesson 96
96 - Derivatives and Integrals of Functions Involving Absolute Value (29:53)
Lesson 97
97 - Solids Defined by Cross Sections (17:37)
48.B - Summary of Rules for Derivatives and Differentials
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