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1141 M14-16
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Calculus 1
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Week 1
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1.4
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Exponential Functions (Brief)
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1.5
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Inverse Functions and Logarithms
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2.1
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The Tangent Problem
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2.2
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The Limit of a Function
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2.3
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Calculating Limits Using the Limit Laws
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Week 2
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2.5
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Continuity
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2.6
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Limits at Infinity; Horizontal Asymptotes
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2.7
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Derivatives and Rates of Change
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2.8
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The Derivative as a Function
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3.1
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Derivatives of Polynomials and Exponential Functions
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Week 3
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3.2
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The Product and Quotient Rules
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9/19(Fri) 17:30-18:20 Quiz 1 (Coverage: 1.4-2.6)
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3.3
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Derivatives of Trigonometric Functions
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3.10
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Linear Approximations and Differentials
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Week 4
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3.4
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The Chain Rule
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9/26(Fri) Worksheet 1 (Derivatives in Economics)
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3.5
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Implicit Differentiation
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3.6
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Derivatives of Logarithmic and Inverse Trigonometric Functions
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Week 5
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3.7
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Rates of Change in Natural and Social Science (Biology and Economics)
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10/3(Fri) 17:30-18:20 Quiz 2 (Coverage: 2.7-3.4、3.10)
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4.2
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The Mean Value Theorem
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4.4
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Indeterminate Forms and L’Hospital Rule
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Week 6
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4.1
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Maximum and Minimum Values
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No TA class this week
Video：Worksheet 2 (Higher order approximations)
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4.3
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What Derivatives Tell Us about the Shape of a Graph
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4.5
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Summary of Curve Sketching
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Week 7
10/13(Mon) Calculus 1 Drop Deadline
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4.7
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Optimization Problems(*)
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10/17(Fri) 17:30-19:15 Exam
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Week 8
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4.9
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Antiderivatives(*)
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No TA class this week
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Calculus 2
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Week 9
10/31(Fri) Calculus 2 Withdrawal Deadline
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5.1
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The Area and Distance Problems
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5.2
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The Definite Integral
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5.3
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The Fundamental Theorem of Calculus
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5.4
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Indefinite Integrals and the Net Change Theorem
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Week 10
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5.5
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The Substitution Rule
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11/7(Fri) Worksheet 1 (Medical Imaging)
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7.2
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Trigonometric Integrals
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7.3
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Trigonometric Substitution
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Week 11
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7.1
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Integration by Parts
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11/14(Fri) 17:30-18:20 Quiz 1 (Coverage: 5.1-5.5)
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7.4
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Integration of Rational Functions by Partial Fractions
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7.8
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Improper Integrals
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Week 12
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6.1
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Areas Between Curves
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No TA class this week
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6.5
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Average Value of a Function
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8.5
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Probability
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Week 13
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9.1
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Modeling with Differential Equations
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11/28(Fri) 17:30-18:20 Quiz 2 (Coverage: 6.1、6.5、7.1-7.4、7.8)
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9.3
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Separable Equations
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9.4
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Models for Population Growths
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9.5
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Linear Equations
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Week 14
12/5(Fri) Calculus 2 Drop Deadline
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11.8
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Power series (No convergence issues)
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12/5(Fri) Worksheet 2 (Introduction to Bifurcation)
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11.9
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Representations of Functions as Power Series
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Week 15
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11.10
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Taylor and Maclaurin Series
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Week 16
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Buffer
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12/19(Fri) 17:30-19:15 Exam
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1142 M14-16
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Calculus 3
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Week 1
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10.1
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Curves Defined by Parametric Equations
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No TA class this week
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10.2
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Calculus with Parametric Curves (No lengths, volumes and surface areas)
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12.6
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Cylinders and Quadric Surfaces
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14.1
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Functions of Several Variables
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Week 2
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14.3
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Partial Derivatives
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14.4
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Tangent Planes and Linear Approximations
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Week 3
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14.5
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The Chain Rules
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3/13(Fri) 17:30-18:20 Quiz 1 (Coverage: 10.1-10.2, 12.6, 14.1、14.3-14.4)
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14.6
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Directional Derivatives and the Gradient Vector
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Week 4
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14.7
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Maximum and Minimum Values
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3/20(Fri) Worksheet 1 (Partial Derivatives in Economics)
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14.8
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Lagrange Multipliers
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Week 5
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15.1
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Double Integrals over Rectangles
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3/27(Fri) 17:30-18:20 Quiz 2 (Coverage : 14.5-14.7)
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15.2
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Double Integrals over General Regions
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10.3
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Polar Coordinates
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Week 6
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15.3
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Double Integrals in Polar Coordinates
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No TA class this week
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15.9
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Change of Variables in Multiple Integrals
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Week 7
4/7(Tue) Calculus 3 Drop Deadline
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15.4
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Applications of Double Integrals (Probability) (*)
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4/10(Fri) Worksheet 2 (The Least Square Method and Shadow Price)
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15.6
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Triple Integrals (*)
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Week 8
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Buffer
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4/17(Fri) 17:30-19:15 Exam
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