## About this Exam Prep

- Learn all the concepts you need to solve any exam question
- Gain a clear understanding of all difficult topics and excel in the course
- Know the common questions that will most likely be covered in your upcoming exam

Total time:

3 hours# of parts:

1 partIncludes:

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PART 1

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Virginia Polytechnic Institute and State University

Physics and Mathematics are two subjects I have studied extensively, practiced and taught for a number of years. My teaching experience spans across being a TA, private tutor and leading exam prep sessions.

- Learn all the concepts you need to solve any exam question
- Gain a clear understanding of all difficult topics and excel in the course
- Know the common questions that will most likely be covered in your upcoming exam

1. Mathematics of finance: compound interest, present and future value, effective rate, equations of value (Sections 5.1 and 5.2).

2. Continuously compounding interest, effective rate, annuities, amortization (Sections 5.3 − 5.4). We omit the financial notation a n¬r.

3. Limits and continuity: limits at a point, infinite limits/limits at infinity, continuity (Sections 10.1 − 10.3). Omit Section 10.4.

4. Differentiation: the derivative and tangent line concepts, differentiation rules, interpretation of the derivative in economics/business, the marginal concept (Sections 11.1 − 11.5). Omit technical proofs for derivative rules. Derivatives of logarithm and exponential functions (Sections 12.1, 12.2) Omit the technical proof.

5. Differentiation: elasticity of demand, implicit differentiation, logarithmic differentiation, Newton’s method, higher derivatives (Sections 12.3 − 12.7). Omit the technical proof.

6. Applications of derivatives and curve sketching: monotonicity, extrema, extrema on a closed interval, applications in economics, concavity, derivative tests, asymptotes, curve sketching (Sections 13.1−13.5). Omit oblique asymptotes."

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