Director: Brian Veitch
Northern Illinois University
Department of Mathematics
Dekalb, IL 60115
Email: veitch@math.niu.edu
Phone: (815) 753-6732
Math 229 Mock Final Exam - additional old exams found here
Math 229 Mock Final Exam Solution
Math 230 Mock Final Exam - additional old exams found here
Math 230 Mock Final Exam Solution
The Calculus Tutoring Center is open from 9am - 4pm Monday - Friday. Please stop by DU 326 to see one of our Calculus I or II tutors. Tutoring begins the second week of school.
Besides stopping by for some one-on-one tutoring, please consider checking out our problem sessions, mock exams, or exam reviews.
Calculus I and II conepts
These lists are a good way of keeping track of what you know and don't know during the course. If you find yourself not sure about some of them or want to practice, stop by the Math Learning Center (DU 326).
Calculus Videos
If you need help reviewing a calculus topic, stop by the Math Learning Center. If you don't have time, check out one of the videos below. Each video was recommended by a student. They are not a substite for coming to class.
Click here for the updated list of videos!
Algebra and Review
- Basic Functions (KNOW THESE)
- Composition of Functions
- Domain of a Composition of Functions Example 1
- Domain of a Composition of Functions Example 2
- Introduction to Tangent Lines and Instantaneous Rate of Change
Limits, Continuity, and Theorems
- Intorduction to Limits
- Limit Laws
- Limit of a function (algebraically)
- Calculating a Limit by Expanding and Simplifying
- Calculating a Limit by Factoring and Canceling
- Calculating a Limit by using Common Denominators
- Calculating a Limit by Multiplying by a Conjugate
- Calculating a Limit involving an Absolute Value Function
- One-sided Limits
- Precise Definition of a Limit
- Infinite Limits - Asymptotic Behavior
- Determine Continuity of a function graphically
- Determine Continuity of a function algebraically
- Intermediate Value Theorem
Derivatives
- Secant Lines and the Tangent Line
- Find a Derivative by using slopes of secant lines - Example 1
- Find a Dervaitive by using slopes of secant lines - Example 2
- Limit Definition of a Derivative
- Sketch the graph of a Derivative - Example 1
- Sketch the graph of a Derivative - Example 2
- Introduction to the Power Rule
- Power Rule - Example 1
- Power Rule - Example 2
- Product Rule - Example 1
- Product Rule - Example 2
- Quotient Rule - Example 1
- Quotient Rule - Example 2
- Chain Rule - Example 1
- Chain Rule - Example 2
- Chain Rule - Example 3
- Chain Rule - Example 4
- Derivatives of Trig Functions
- Derivatives using Multiple Rules - Example 1
- Derivatives using Multiple Rules - Example 2
- Derivatives using Multiple Rules - Example 3 (involves derivatives you don't know yet)
- Implicit Differentiation - Introduction
- Implicit Differentiation - Example 2
- Implicit Differentiation - Example 3
- Implicit Differentiation - Example 4
- Implicit Differentiation - Example 5
Applications of Derivatives
- Find the equation of the Tangent Line (uses the limit definition)
- Find the equation of the Tangent Line - Example 2
- Problems relating to Velocity and Acceleration - Example 1
- Problems relating to Velocity and Acceleration - Example 2
- Problems relating to Velocity and Acceleration - Example 3
- Problems relating to Velocity and Acceleration - Example 4
- Related Rates - Sliding Ladder
- Related Rates - Cars Approaching each other
- Related Rates - Baseball Problem
- Related Rates - Water Pouring into a Cone
- Related Rates - Speed of a Shadow
- Linearization and Differentials - Example 1
- Linearization and Differentials - Example 2
- Linearization and Differentials - Example 3
Integration
- Definite Integral - Understanding the Definition
- Estimating Area Under Curve with Rectangles - Example 1
- U-substitution - Example 1 - with trig functions
- U-substitution - Example
- U-substitution - Definite Integral
Applications of Integration
- Area between curves
- Area between curves - with respect to y - part 1
- Area between cruves - with respect to y - part 2
- A whole series on solids of revolution
Extra Material
Looking for study material? Click one of the following links.
Substitution Problems (need to master before math 230)
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