Math 229
Our five-minute videos illustrate how to solve a variety of equations used in Math 229. Browse our lecture notes to get detailed explanations, and take past exams to prepare for this year's exam.
Practice Exams and Final
- Midterm Practice Problems
- Solution (added soon)
- Spring 2019
- Mock exam.
- Bailey - exam II.
- Fall 2012.
- Spring 2011.
Videos and Tutorials
- Evaluating limits numerically.
- Evaluating limits from a graph.
- What are one-sided limits?
- Sketch a graph satisfying limit conditions.
- Find the slope of the tangent line using limits.
- Evaluate limits by direct substitution.
- Evaluate limits multiplying by a conjugate.
- Evaluate limits by factoring.
- Evaluate limits by simplifying.
- Evaluate limits by finding a common denominator - example 1.
- Evaluate limits by using a common denominator - example 2.
- Introduction to continuity - the three conditions.
- Where is f(x) continuous? Example 1.
- Where is f(x) continuous? Example 2.
- Find slope of the tangent line using limit definition.
- Find slope of the tangent line using limit definition - example 2.
- Find slope of the tangent line using limit definition - example 3.
- Sketch the graph of the derivative.
- Different notations for derivatives.
- Derivatives using the power rule.
- Derivatives using the product rule - example 1.
- Derivatives using the product rule - example 2.
- Derivative using product rule for three functions.
- Derivatives using the quotient rule - example 1.
- Graphical proof of the derivative of sin(x).
- Derivative of the trig functions.
- Extended power rule for derivatives.
- Derivative using the chain and product rule - example 1.
- Derivative using chain rule - example 2.
- Chain rule - composition of three functions - example 3.
- Derivative using the chain rule - example 4.
- First and second derivatives using the chain rule - example 5.
- Equation of the tangent line using the chain rule - example 6.
- Related rates - area of circle - example 1.
- Related rates - sphere - example 2.
- Related rates - shadow - example 3.
- Related rates - example 4A (rocket) .
- Related rates - example 4B (rocket).
- Implicit differentiation - introduction - example 1.
- Implicit differentiation - example 2.
- Implicit differentiation - example 3.
- Implicit differentiation - example 4.
Handouts and Study Material
Contact
Kevin ShryockMath Assistance Center Coordinator and Lead Tutor
kshryock1@niu.edu
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