Academic Resources

Note: There are several ways to solve the problems presented below. Our tutors will explain how they arrive at solutions and try to give problem solving strategies. In all instances, students should refer to their course instructors if they have questions about solutions.

Practice Exam 1

1. Click here to download a previous spring’s Exam 1A for MAC 2311. We strongly recommend that you test yourself using exam timing (90 minutes).
2. Check the answer key and try to determine the reason for any missed questions.
3. Watch the video playlist below of our math tutors solving specific problems.

Part I

Question	Concept Videos
1.	Evaluating Limits
2.	Trigonometric Equations Non-linear Inequalities
3.	Exponential Growth
4.	Function Composition Domain and Range
5.	Continuity Asymptotes
6.	Average Rate of Change
7.	Evaluating Limits Piecewise Functions
8.	Evaluating Limits Absolute Value
9.	Inverse Functions
10.	Intermediate Value Theorem
11.	Trigonometric Identities
12.	Evaluating Limits
13.	Even/Odd Functions
14.	Logarithms One-Sided Limits
15.	Evaluating Limits

Part 2 (Tear-Off Sheet)

Question	Concept Videos
1.	Rate of Change
2.	Logarithmic Equations Trigonometric Equations
3.	Inverse Trigonometric Functions
4.	Systems of Equations Domain and Range
5.	Squeeze Theorem
6.	Piecewise Functions Continuity Evaluating Limits

Practice Exam 2

1. Click here to download last Spring’s Exam 2A for MAC 2311. We strongly recommend that you test yourself using exam timing (90 minutes).
2. Check the answer key and try to determine the reason for any missed questions.
3. Click on the linked question numbers below of our math tutors solving specific problems.

Part I

Question	Concept Videos
1.	Separating Fractions Power Rule
2.	Chain Rule Differentiating Trig Functions
3.	Differentiating Exponential Functions
4.	Differentiating Inverse Trig Functions
5.	Quotient/Product Rule
6.	Power Rule Tangent/Normal Lines
7.	Product Rule Tangent/Normal Lines
8.	Derivative Graphs
9.	Quotient/Product Rule
10.	Average Rate of Change Chain Rule
11.	Tangent/Normal Lines
12.	Chain Rule
13.	Implicit Differentiation Differentiating Trig Functions
14.	Trig Limit Identities
15.	Trig Limit Identities
16.	Differentiating Log Functions

Part 2 (Tear-Off Sheet)

Question	Concept Videos
1.	Limit Definition of Derivative Tangent/Normal Lines
2.	Distance, Velocity and Acceleration
3.	Chain Rule Differentiating Trig Functions
4.	Logarithmic Differentiation Differentiating Trig Functions
5.	Trig Limit Identities Limit Definition of Derivative

Practice Exam 3

1. Click here to download last Spring’s Exam 3A for MAC 2311. We strongly recommend that you test yourself using exam timing (90 minutes).
2. Check the answer key and try to determine the reason for any missed questions.
3. Click on the linked question numbers below of our math tutors solving specific problems.

Part I

Question	Concept Videos
1.	Absolute Extrema
2.	Inflection Points
3.	Related Rates
4.	Mean Value Theorem
5.	Critical Numbers
6.	Displacement and Total Distance
7.	Relative Extrema
8.	Differentials Relative/Percent Error
9.	Increasing/Decreasing Concavity
10.	Critical Numbers Increasing/Decreasing
11.	Distance, Velocity, and Acceleration
12.	Increasing/Decreasing
13.	Second Derivative Test
14.	Derivative Graphs
15.	Derivative Graphs Increasing/Decreasing
16.	Derivative Graphs Concavity
17.	Derivative Graphs Inflection Points

Part 2 (Tear-Off Sheet)

Question	Concept Videos
1.	Logarithmic Differentiation Tangent/normal Lines
2.	Rolle’s Theorem
3.	Related Rates
4.	Linearization
5.	Curve Sketching

Practice Exam 4

1. Click here to download last Spring’s Exam 4A for MAC 2311. We strongly recommend that you test yourself using exam timing (90 minutes).
2. Check the answer key and try to determine the reason for any missed questions.
3. Click on the linked question numbers below of our math tutors solving specific problems.

Part I

Question	Concept Videos
1.	L’hopital’s Rule
2.	Displacement and Total Distance
3.	Optimization
4.	Fundamental Theorem of Calculus
5.	Riemann Sums
6.	Maximum and Minimum Areas Using Integrals
7.	Antiderivatives
8.	Definite Integrals
9.	Antiderivatives
10.	Antiderivatives
11.	Definite Integrals
12.	Definite Integrals
13.	Definite Integrals
14.	Evaluating limits
15.	Derivative Graphs
16.	Definite Integrals

Part 2 (Tear-Off Sheet)

Question	Concept Videos
1.	Optimization
2.	Curve Sketching L’hopital’s Rule
3.	L’hopital’s Rule
4.	Riemann Sums
5.	Riemann Sums Limits of Riemann Sum

Practice Final Exam

1. Click here to download last Spring’s Final Exam for MAC 2311. We strongly recommend that you test yourself using exam timing (90 minutes).
2. Check the answer key and try to determine the reason for any missed questions.
3. Click on the linked question numbers below, or watch the video playlist of our math tutors solving specific problems.

Question	Concept Videos
1.	Evaluating Limits
2.	Chain Rule
3.	Average Rate of Change Power Rule
4.	One-Sided Limits
5.	Trig Limit Identities
6.	Related Rates
7.	Differentiating Log Functions Chain Rule
8.	Continuity/Differentiability Evaluating Limits
9.	Increasing/Decreasing Concavity
10.	Implicit Differentiation
11.	Vertical/Horizontal Asymptotes Relative Extrema Inflection Points
12.	Optimization
13.	Curve Sketching
14.	Fundamental Theorem of Calculus
15.	Riemann Sums
16.	Maximum and Minimum Integrals
17.	Integration by Substitution
18.	Integration by Substitution
19.	Definite Integrals Total Distance
20.	Integration by Substitution
21.	Integration by Substitution
22.	Integration by Substitution
23.	Integration by Substitution
24.	Continuity/Differentiability
25.	Mean Value Theorem