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MATH 2914
Calculus I


MATH 2914.006 Course Syllabus
MATH 2914.007 Course Syllabus
§ 1.1 Functions and their Representations
§ 1.2 A List of Commonly Occurring Functions
§ 1.3 The Limit of a Function
§ 1.4 Properties of Limits
§ 1.5 The Continuity of a Function
§ 1.6 Limits Involving Infinity
§ 2.1 The Derivative of a Function
§ 2.2 The Derivative Function
§ 2.3 Basic Differentiation Formulas
§ 2.4 The Product and Quotient Rules
§ 2.5 The Chain Rule
§ 2.6 Implicit Differentiation
§ 2.7 Related Rates Problems
§ 2.8 Linear Approximations and Differentials
§ 3.1 Exponential Functions
§ 3.2 Inverse Functions and Logarithmic Functions
§ 3.3 Derivatives of Exponential and Logarithmic Functions
§ 3.4 Exponential Growth and Decay Models
§ 3.5 Derivatives of Inverse Trigonometric Functions
§ 3.6 Hyperbolic Functions
§ 3.7 Indeterminate Forms and L'Hopital's Rule
§ 4.1 Maximum and Minimum Values
§ 4.2 The Mean Value Theorem
§ 4.3 Finding Local Extreme Values: First and Second Derivatives
§ 4.4 Curve Sketching
§ 4.5 Mathematical Modeling and Optimization
§ 4.6 Newton's Method
§ 4.7 Antidifferentiation
§ 5.1 Measuring Areas and distances
§ 5.2 The Definite Integral
§ 5.3 Evaluating Definite Integrals: Indefinite Integrals
§ 5.4 Fundamental Theorem of Calculus
§ 5.5 Integration by Substitution
[Solution to Section 1.1]
[Solution to Section 1.2]
[Solution to Section 1.3]
[Solution to Section 1.4]
[Solution to Section 1.5]
[Solution to Section 1.6]
[Solution to Section 2.1]
[Solution to Section 2.2]
[Solution to Section 2.3]
[Solution to Section 2.4]
[Solution to Section 2.5]
[Solution to Section 2.6]
[Solution to Section 2.7]
[Solution to Section 2.8]
[Solution to Section 3.1]
[Solution to Section 3.2]
[Solution to Section 3.3]
[Solution to Section 3.4]
[Solution to Section 3.5]
[Solution to Section 3.6]
[Solution to Section 3.7]
[Solution to Section 4.1]
[Solution to Section 4.2]
[Solution to Section 4.3]
[Solution to Section 4.4]
[Solution to Section 4.5]
[Solution to Section 4.6]
[Solution to Section 4.7]
[Solution to Section 5.1]
[Solution to Section 5.2]
[Solution to Section 5.3]
[Solution to Section 5.4]
[Solution to Section 5.5]

Page created and maintained by Marcel B. Finan
Last updated:August 22, 2017