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MATH 1314
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Functions
Polynomial Functions
Exponential Functions and Logarithmic Functions
Matrices and Linear Systems
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Math1314-Assessment
MATH 3325
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MATH3370
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MATH 4340
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CHAPTER 2 Limit of a Function
2.1
Limits-An Informal Approach
2.2
Limit Theorems
2.3
Continuity
2.4
Trigonometric Limits
2.5
Limits That Involve Infinity
2.6
Limits-A Formal Approach
2.7
The Tangent Line Problem
CHAPTER 3 The Derivative
3.1
The Derivative
3.2
Power and Sum Rules
3.3
Product and Quotient Rules
3.4
Trigonometric Functions
3.5
Chain Rule
3.6
Implicit Differentiation
3.7
Derivatives of Inverse Functions
3.8
Exponential Functions
3.9
Logarithmic Functions
3.10
Hyperbolic Functions
CHAPTER 4 Applications of the Derivative
4.1
Rectilinear Motion
4.2
Related Rates
4.3
Extrema of Function
4.4
Mean Value Theorem
4.5
Limits Revisited – L’Hopital’s Rule
4.6
Graphing and the First Derivative
4.7
Graphing and the Second Derivative
4.8
Optimization
4.9 Linearization and Differentials (optional)
4.10 Newton’s Method (optional)
CHAPTER 5 Integrals
5.1
The Indefinite Integral
5.2
Integration by the u-Substitution
5.3
The Area Problem
5.4
The Definite Integral
5.5
Fundamental Theorem of Calculus
Exercises 2.1
Exercises 2.2
Exercises 2.3
Exercises 2.4
Exercises 2.5
Exercises 2.6
Exercises 2.7
Exercises 3.1
Exercises 3.2
Exercises 3.3
Exercises 3.4
Exercises 3.5
Exercises 3.6
Exercises 3.7
Exercises 3.8
Exercises 3.9
Exercises 3.10
Exercises 4.1
Exercises 4.2
Exercises 4.3
Exercises 4.4
Exercises 4.5
Exercises 4.6
Exercises 4.7
Exercises 4.8
Exercises 5.1
Exercises 5.2
Exercises 5.3
Exercises 5.4
Exercises 5.5