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Calculus 1
Calculus 1
Calculus 1, Lecture 001: sets; real numbers; properties; distance formula; ellipses (48:35)
Calculus 1, Lecture 002:ellipses continued; parabolas (50:24)
Calculus 1, Lecture 003: hyperbolas; inverses (50:50)
Calculus 1, Lecture 004: functions; incr/decr/conc up/cone down; polynomials; trig (49:45)
Calculus 1, Lecture 005:logs; exponents; factorial; binomial expansion; parametric cur., limits (50:04)
Calculus 1, Lesson 006: discontinuities; average speed vs. instantaneous speed (49:11)
Calculus 1, Lecture 007: slope of secant vs. slope of tangent; epsilon/ delta def of limit (48:20)
Calculus 1, Lesson 008: one-sided limits; two-sided limits; horizontal asymptotes (51:24)
Calculus 1, Lecture 009: no limit; slant asymptotes; continuity; contin on its domain (50:58)
Calculus 1, Lecture 010: squeeze theorem; contin of trig functions; IVT (51:21)
Calculus 1: Lecture 11: IVT for determining roots; instantaneous velocit (50:54)
Calculus 1: Lecture 12: average velocity; instantaneous velocity: definition of derivative; alternate def of derivative (51:37)
Calculus 1: Lecture 13: (slope of tangent line; vertex of a parabola using derivative (51:28)
Calculus 1: Lecture 14: continuous vs. differentiable; derivative "does not exist" (49:13)
Calculus 1: Lecture 15: contrapositive statement; review (52:16)
Calculus 1: Lecture 16: derivative rules; product rule; quotient rule (48:27)
Calculus 1: Lecture 17: power rule; higher order derivatives (48:49)
Calculus 1, Lecture 18: general power rule; distance-velocity-acceleration (50:36)
Calculus 1: Lecture 19: normal line; begin derivatives of trig functions (48:59)
Calculus 1: Lecture 20: correction from Day 19; derivatives of trig (38:44)
Calculus 1, Lecture 21: chain rule (47:04)
Calculus 1, Lecture 22: chain rule for parametric equations; deriv. of comp. function (49:38)
Calculus 1, Lecture 23: chain rule; tangent line error; implicit differentiation (50:06)
Calculus 1, Lecture 24: implicit differentiation; higher order derivatives with implicit (45:47)
Calculus 1, Lecture 25: derivative of inverse trig; derivative of general exponential (48:33)
Calculus 1, Lecture 26: deriv of nat exponential; deriv of log function; gen power rule (49:56)
Calculus 1, Lesson 27: logarithmic differentiation; limit definition of e (48:36)
Calculus 1, Lesson 28: general power rule; begin related rates (49:39)
Calculus 1, Lesson 29: related rates continued (49:08)
Calculus 1, Lecture 30: finish related rates; more examples; review (50:05)
Calculus 1, Lecture 031: Equations of tangent line; Linear approximation; Newton's Method (44:21)
Calculus 1, Lecture 032: Newton's Method; IVT; extreme value(s) of functions (48:44)
Calculus 1, Lecture 033: rel max/min; global max/min; find critical points of polynom (45:51)
Calculus 1, Lecture 034: critical points of non-polynomial) (46:44)
Calculus 1, Lecture 035: Rolle's Theorem; Mean Value Theorem; begin use of 2nd deriv (47:53)
Calculus 1, Lecture 036: concavity and point(s) of inflection (50:23)
Calculus 1, Lecture 037: finish concavity; max/min word problems; optimization (50:48)
Calculus 1, Lecture 038: more optimization example problems (46:24)
Calculus 1, Lecture 039: more optimization example problems (49:51)
Calculus 1, Lecture 40: standard indeterminate forms; L'Hopital's Rule (49:27)
Calculus 1, Lecture 41: more indeterminate forms (47:55)
Calculus 1, Lecture 42: more indeterminate forms; differentials; error term (50:57)
Calculus 1, Lecture 43: more differentials; general antiderivatives; power rule (49:31)
Calculus 1, Lecture 44: antiderivatives; derivative rules - in reverse (49:30)
Calculus 1, Lecture 45: antiderivatives - exponentials; sum/diff; trig; rev (48:49)
Calculus 1, Lecture 46: summation; approx area under a curve (48:16)
Calculus 1, Lecture 47: exact area using Riemann Sums and summation formulas (49:23)
Calculus 1, Lecture 48: exact area; negative area; area under split-domain function (47:38)
Calculus 1, Lecture 49: properties of def integrals; Fundamental Thm of Calculus (47:18)
Calculus 1, Lecture 50: more Fundamental Thm of Calculus; chain rule (43:31)
Calculus 1, Lecture 51: more FTOC; integration using substitution (45:27)
Calculus 1, Lecture 52: more integration using substitution (48:54)
Calculus 1, Lecture 53: more integration using substitution; integration by parts (50:23)
Calculus 1, Lecture 54: more integration by parts (49:00)
Calculus 1, Lecture 55: reduction formula; finish integration by parts; area between two curves (49:36)
Calculus 1, Lecture 56: more area between two curves; type 2 region (49:38)
Calculus 1: Lecture 57: more type 2 regions; volumes of solids of revolution - disk (49:22)
Calculus 1: Lecture 58: more volume of solids of rev; washer method (48:12)
Calculus 1: Lecture 59: volumes by slicing; review (47:28)
Calculus 1: Lecture 60: volumes using cylindrical shells (35:56)
Calculus 1: Lecture 61: finish cylindrical shells; final exam review (44:25)
Calculus 1: Lecture 62: final exam review (45:58)
Calculus 1, Lecture 63: final exam review (40:20)
Calculus 1, Lecture 031: Equations of tangent line; Linear approximation; Newton's Method
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