MTH 251 — Differential Calculus

Friday, January 27, 2012, 11:29 AM

Welcome

You have found the the course website for MTH 251 (Differential Calculus), section 002.

1. Instructor
2. Course Information
3. Course Calendar
4. Homework
5. Spotlight Problems

Instructor

Office

Kidder 108E

Office Hours

MWF 11:00–11:50

MLC Hours

MF 12:00–12:50

Email

shersonb@math.oregonstate.edu

Course Information

Location

Bexel 320

Meeting Time

MTWRF 10:00–10:50

Course Calendar

Monday	Tuesday	Wednesday	Thursday	Friday
June 22 §1.1: Functions Linear change Quiz 1 ( Key)	23 §1.6: Polynomial functions §1.2: Exponential functions See also: Exponentiation	24 §1.3: New functions from old Function composition Pointwise operations §1.4: Inverse functions	25 §1.5: Trigonometric functions Inverse trigonometric functions Trigonometric identities	26 §1.7: Continuity Spotlight problems due
29 §1.7: Continuity Homework 1 due Quiz 2 ( Key)	30 Intermediate value theorem §1.8: Limits At a point At infinity ε–δ definition	July 1 §1.8: Limits Squeeze theorem	2 §2.1: Rates of Change Difference Quotient Velocity Average velocity Instantaneous velocity	3 No class — Independence Day observed
6 §2.1: Rates of Change Difference Quotient Homework 2 due Spotlight problems due Quiz 3 ( Key)	7 §2.6: Differentiability	8 §2.2: Derivative at a point Formal definition Derivative of linear and power functions Relationship to increasing/decreasing Derivative operator Various notations Prime notation Operator notation	9 §2.3: Derivative of a function Derivative of linear and power functions Leibniz notation §2.5: Second derivative Concavity	10 Lab 2b and 3 Instantaneous Acceleration Spotlight problems due
13 §2.4: Interpretations of the derivative Quiz 4	14 §3.1: Linearity of differentiation Scalar rule Sum/Difference Rule Power rule	15 §3.2: Derivative of Exponential functions	16 Review day Email me with your top questions, I will try to answer the most popular questions.	17 Midterm Exam Scientific Calculator (Non-graphing) calculator permitted
20 §3.3: Product and Quotient rules Quiz 5 ( Key)	21 §3.4: Chain Rule	22 §3.2: Derivatives of Trigonometric functions EC Homework Due Homework 4 Due Spotlight Problems Due	23 §3.2: Derivatives of inverse functions Derivatives of inverse trigonometric functions	24 Differentiation Review Lab 7
27 Differentiation Skills Quiz Homework 5 Due	28 §3.7: Implicit Differentiation	29 §3.9: Linear Approximation §3.10: Theorems about differentiability Mean Value Theorem	30 Increasing function theorem Constant function theorem Racetrack principle	31 Lab 7b
August 3 Quiz 7 Homework 6 Due §4.1: First and Second Derivatives Critical Points Local Extremum Points of Inflection	4 §4.3: Optimization	5 §4.3: Optimization	6 §4.5: Optimization and Modeling	7 §4.5: Optimization and Modeling Labs 8 and 9 Rough Drafts for Spotlight problems
10 Quiz 8	11 §4.6: Related Rates Final Drafts for Spotlight problems	12 §4.7: L'Hôpital's Rule Proof Indeterminate Forms Class Examples	13 Review	14 Final Exam Scientific Calculator (Non-graphing) calculator permitted Homework 7 Due

Homework

• HW 1 — due Monday, June 29
  • §1.1: 1, 5, 15–17, 29
  • §1.2: 5, 6, 12, 17, 18
  • Using your favorite calculator or spreadsheet program, calculate (1+1/n)ⁿ, for n=1, 2, 5, 10, 1,000, and 1,000,000.
  • §1.3: 5–8
  • §1.4: 6, 21
• HW 2 — due Monday, July 6
  • §1.7: 11, 17, 21–23
  • §1.8: 1, 2, 7, 8, 21
• HW 3 — due Monday, July 13
  • §2.1: 3*, 11-13
  • §2.6: 1, 2
  • §2.2: 13*, 14
  • §2.3: 6, 14**
  * Must show all work to receive credit. ** Must calculate derivative both ways, using difference quotient and power rule.
• HW 3.1 — Extra Credit (5 pts) — due Wednesday, July 22
  • §2.4: 2-12 (even)
• HW 4 — due Wednesday, July 22
  • §2.5: 2–14 (even)
  • §3.1: 4–38 (even)*, 55, 57, 58
  • §3.2: 2–26 (even)*, 36–40 (even)
  * Longer than normal assignment for practice towards the differentiation skills quiz. May submit early for next-day feedback. Please document the amount of time spent on these problems.
• HW 5 — due Monday, July 27
  • §3.3: 1,2, 4–30 (even), 31–39, 44, 46, 56
  • §3.4: 2–52 (even), 53–60
  • §3.5: 2–38 (even)
  • §3.6: 2–28 (even), 40
  * Longer than normal assignment for practice towards the differentiation skills quiz. May submit early for next-day feedback. Please document the amount of time spent on these problems.
• HW 6 — due Monday, August 3
  • §3.7: 2, 10, 14, 24
  • §3.9: 10, 16
  • §3.10: 4, 13, 14, 16
• HW 7 — due Friday, August 14
  • §4.1: 2, 6, 14
  • §4.3: 2, 6, 21
  • §4.5: 20, 22, 24, 26
  • §4.6: 2, 4, 12
  • Limit Calculations

Spotlight Problems

1. Week 1
2. Week 2
3. Week 3
4. Week 4
5. Week 5
6. Week 6
7. Week 7