From Limits to Integrals—Complete Exam Prep with Lectures and Walkthroughs
Sub Category
- Math
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Objectives
- Define and evaluate limits algebraically and graphically
- Identify types of discontinuities and determine continuity of functions
- Compute derivatives using fundamental differentiation rules
- Apply implicit differentiation to solve complex equations
- Differentiate trigonometric, exponential, and logarithmic functions
- Use derivatives to analyze and graph functions (increasing/decreasing, concavity, extrema)
- Solve optimization and related rates problems
- Interpret the derivative in motion problems (velocity and acceleration)
- Compute definite and indefinite integrals using basic techniques
- Apply the Fundamental Theorem of Calculus to evaluate integrals
- Use u-substitution for integration
- Calculate areas under curves and between functions
- Solve accumulation and net change problems
- Analyze motion using integrals (position, velocity, displacement)
- Solve basic separable differential equations
- Interpret slope fields and their connections to differential equations
- Develop problem-solving strategies for multiple-choice and free-response questions
- Improve time management and test-taking skills
- Complete practice exams to build confidence and readiness
Pre Requisites
- You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions.
- You should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions and know how to graph these functions and solve equations involving them.
- You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.
FAQ
- Q. How long do I have access to the course materials?
- A. You can view and review the lecture materials indefinitely, like an on-demand channel.
- Q. Can I take my courses with me wherever I go?
- A. Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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