Register Now ; Course Title : Math 165: Calculus I, Credits : 4 undergraduate credits, Prerequisite : MATH 112, OR completion of MATH 107 with a grade of a C or better, OR the required Math Placement Exam score, Format : Online - Self-Paced Enroll Anytime, Completion Time : You may submit up to 3 items per week. Minimum duration: 9 weeks. Maximum duration: 9 months. Allow additional 5-7 business days for registration, and 3-5 days for the final grade to appear on your transcript. Cost : Tuition ...
Unit, Exam Weighting (Multiple-Choice) ; Unit 1: Limits and Continuity, 10%–12% ; Unit 2: Differentiation: Definition and Fundamental Properties, 10%–12% ; Unit 3: Differentiation: Composite, Implicit, and Inverse Functions, 9%–13% ; Unit 4: Contextual Applications of Differentiation, 10%–15% ; Unit 5: Analytical Applications of Differentiation, 15%–18% ; Unit 6: Integration and Accumulation of Change, 17%–20% ; Unit 7: Differential Equations, 6%–12% ; Unit 8: Applications of Integration, 10%–15%
Review of Functions, 26:29 ; Compositions of Functions, 12:29 ; Average and Instantaneous Rates of Change, 20:59 ; Limit Investigations, 22:37 ; Algebraic Evaluation of Limits, 28:19 ; Formal Definition of a Limit, 23:39 ; Continuity and the Intermediate Value Theorem, 19:09 ; Limit Definition of the Derivative, 22:52 ; The Power Rule, 26:01 ; The Product Rule, 14:54 ; The Quotient Rule, 19:17 ; Applications of Rates of Change, 17:43 ; Trigonometric Derivatives, 26:58 ; The Chain Rule, 23:47 ; Inverse Trigonometric Functions, 27:05 ; Equation of a Tangent Line, 15:52 ; Implicit Differentiation, 30:05 ; Higher Derivatives, 13:16 ; Logarithmic and Exponential Function Derivatives, 17:42 ; Hyperbolic Trigonometric Function Derivatives, 14:30 ; Related Rates, 29:05 ; Linear Approximation, 23:52 ; Absolute Minima and Maxima, 18:57 ; Mean Value Theorem and Rolle's Theorem, 20:00 ; First Derivative Test, Second Derivative Test, 27:11 ; L'Hopital's Rule, 23:09 ; Curve Sketching, 40:16 ; Applied Optimization, 25:37 ; Newton's Method, 25:13 ; Approximating Areas and Distances, 36:50 ; Riemann Sums, Definite Integrals, Fundamental Theorem of Calculus, 22:02 ; Substitution Method for Integration, 23:19 ; Area Between Curves, 19:59 ; Volume by Method of Disks and Washers, 24:22 ; Volume by Method of Cylindrical Shells, 30:29 ; Average Value of a Function, 16:31 ; Graphs of f, f', f'', 23:58 ; Slope Fields for Differential Equations, 18:32 ; Separable Differential Equations, 17:04
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Integration by Parts, 24:52 ; Integration of Trigonometric Functions, 25:30 ; Trigonometric Substitutions, 30:09 ; Partial Fractions, 41:22 ; Integration Tables, 20:00 ; Trapezoidal Rule, Midpoint Rule, Left/Right Endpoint Rule, 22:36 ; Simpson's Rule, 21:08 ; Improper Integration, 44:18 ; Arclength, 23:20 ; Surface Area of Revolution, 28:53 ; Hydrostatic Pressure, 24:37 ; Center of Mass, 25:39 ; Parametric Curves, 22:26 ; Polar Coordinates, 30:59 ; Sequences, 31:13 ; Series, 31:46 ; Integral Test, 23:26 ; Comparison Test, 22:44 ; Alternating Series, 25:26 ; Ratio Test and Root Test, 33:27 ; Power Series, 38:36 ; Taylor Series and Maclaurin Series, 30:18 ; Taylor Polynomial Applications, 50:50
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Unit, Exam Weighting (Multiple-Choice Section) ; Unit 1: Limits and Continuity, 4%–7% ; Unit 2: Differentiation: Definition and Fundamental Properties, 4%–7% ; Unit 3: Differentiation: Composite, Implicit, and Inverse Functions, 4%–7% ; Unit 4: Contextual Applications of Differentiation, 6%–9% ; Unit 5: Analytical Applications of Differentiation, 8%–11% ; Unit 6: Integration and Accumulation of Change, 17%–20% ; Unit 7: Differential Equations, 6%–9% ; Unit 8: Applications of Integration, 6%–9% ; Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions, 11%–12% ; Unit 10: Infinite Sequences and Series, 17%–18%
Contents v Acknowledgments 1 About AP 4 AP Resources and Supports 6 Instructional Model 7 About the AP Calculus AB and BC Courses 7 College Course Equivalent 7 Prerequisites COURSE...
Saturday Sep 7 - Mar 15 · 1:00 - 3:00 PM ET – · Andrew Sayler · CLOSED
Determining expressions and values using mathematical procedures and rules ; Connecting representations ; Justifying reasoning and solutions