Differential Calculus with Applications to Commerce and Social Sciences
- When and where: Mon-Wed-Fri 11:00am to 12:00am Leonard S. Klinck (LSK) 460.
- My office: Chemical & Biological Engineering building 437 (here).
- e-mail: rakotonirina@math.ubc.ca
- Office hours: Monday & Friday 12 to 01pm at LSK300B. Or at my office by appointment if you can’t make these hours.
- Final exam (50%)
- 2 midterms (15% + 15% = 30%)
- WebWork assignments (10%). You will use your CWL to login.
- Weekly homework (posted every Friday, due: Monday 11am before class) (10%)
All information about the course are on the common course website. The syllabus is here.
Final Exam: Friday, December 15th (12pm – Room: SRC C) – Information about the exam
Information about midterms: Past year midterms (here) – Past exams & Solutions – Info
Text: Differential Calculus Notes by Joel Feldman and Andrew Rechnitzer. Problems by Elyse Yeager. This is a locally authored set of notes and problems, which are available free-of-charge here.
EXAM PREPARATION: prep1– prep2 – prep3 – prep4 – Exam prep (Solutions) – Midterm 1 example with solutions – Midterm1 Solutions
Week 11 & week 12: Learning goals – Chapter 3.4 – Approximation – Approximation (continue) – Taylor Polynomials – Derivatives of inverse trigonometric function
Homework week 11 (due on Wednesday before class). It is a past final, do not look at the solutions. The goal is to know how do you deal with such questions if there are similar question in your final.
Week 9 & week 10: Learning goals – Chapter 3.6 – Concavity & Examples – Asymptotes
Week 8: Week goals – Chapter 3.5 – Optimisation Problems (courtesy of K. Tsishchanka) – Price Elasticity of Demand in terms of p and q
Week 7: Week goals – Mean Value Theorem (Chapter 2.13) – Related Rates (Chapter 3.2) – Related Rates Problems (Chapter 3.3)- Growth Rates (Dr. Karimfazli) – Additional Notes on Exponential Growth (Dr. Karimfazi) – Maximum & Minimum Values
Week 6: Week goals – Price Elasticity of Demand – Continuous Compound Interest
Week 5: Week goals – Chapter 2.10 and 2.11. Implicit Differentiation 1– Implicit Differentiation 2 – Mean Value Theorem
External links: Implicit Differentiation (UC Davis) – Inverse properties of exponential/logarithmic functions
Week 4: Week goals – Chapter 2.8 and 2.9. Marginal Revenue, cost, profit – Problems on marginal concepts
Week 3: Week goals – Chapter 2.1 to 2.7. Differentiation – Tangent Lines
Additional exercises: ex1
Week 2: Week goals – Chapter 1.6, and 2.1 to 2.3. Continuity – Intermediate Value Theorem – Derivatives – Notes on derivatives
External link (Khan Academy): Derivatives
Week 1: Week goals – Chapter 1.1 to 1.5. Revenues, costs, profits and demand – Business Problem – Limits – One-sided limits / Two-sided limits
External links (Dr Paul’s online): Limits and related problems
Week 0: Week goals – Chapter 0, and on pp. 141 to 143, and in Appendix A. Lecture 1 – Lecture 2
Sample problems (Dr Paul’s online): Solving Exp. Func. – Special function e – Inverse of a function – Log. Func.