Math 104

 
Introductory slides, Syllabus, Notes on Compound Interest, Extra notes on compound interest. Properties of the Exponential, inverse functions, slides on functions. The logarithm, the oPad, A business problem (Extra notes). The oPad (continued) and an introduction to limits. Limits continued: a speeding ticket and undefined limits. One-sided limits, Limit laws, Continuity. Continuity continued. Continuity, Intermediate Value Theorem. Derivative: definition, graphing, relationship with continuity. Differentiation Rules. Derivatives of Trig Functions, Left and Right Derivatives, Tangent Line Review. Left/Right derivative example, Marginal miscellany. Midterm 1 Review notes, Examples from Review Session Marginal miscellany, kinematics, growth models. Compositions and the Chain Rule. Chain Rule examples, Implicit Differentiation. Implicit Differentiation cont’d, normal lines. Normal Lines, Logarithmic Differentiation. Logarithmic Differentiation, Relative Rates of Change, Constant growth rates. Exponential Growth, Price Elasticity of demand. Solutions to extra examples. Extra notes on continuously compounded interest. Elasticity cont’d., Extra notes on elasticity, Solution to Yacht example. Related Rates, Solution to climbing wall example. Absolute Maxima and Minima. Extreme Value Theorem, critical points, and searching for absolute maxima and minima. Local Maxima/Minima Intervals of increase/decrease, First Derivative Test, Concavity. Solution to extra local max/min example (pg. 132). Second derivative test. Extra Example Solution. Midterm 2 Review Notes, Problems from Review Session Template Notes, Asymptotes and curve sketching. Optimization I (by Matt Coles) Optimization II, Solution to extra business example. Optimization III, Tangent line example Linear Approximations Errors in Linear Approximation Errors in Linear Approximation (continued), Solution to extra example Taylor polynomials Derivatives of Inverse Trig Functions, asymptote review, Extra example (arctan) Slant asymptote review, Final exam notes, Extra notes and problems on slant asymptotes, Partial answers to extra slant asymptote problems Review Session Notes



  1. 1.Introductory slides, Syllabus, Notes on Compound Interest,  Extra notes on compound interest.

  2. 2.Properties of the Exponential, inverse functions, slides on functions.

  3. 3.The logarithm, the oPad, A business problem (Extra notes).

  4. 4.The oPad (continued) and an introduction to limits.

  5. 5.Limits continued: a speeding ticket and undefined limits.

  6. 6.One-sided limits, Limit laws, Continuity.

  7. 7.Continuity continued.

  8. 8.Continuity, Intermediate Value Theorem.

  9. 9.Derivative: definition, graphing, relationship with continuity.

  10. 10.Differentiation Rules.

  11. 11.Derivatives of Trig Functions, Left and Right Derivatives, Tangent Line Review.

  12. 12.Left/Right derivative example, Marginal miscellany.

Midterm 1 Review notes, Examples from Review Session

  1. 13.Marginal miscellany, kinematics, growth models.

  2. 14.Compositions and the Chain Rule.

  3. 15.Chain Rule examples, Implicit Differentiation.

  4. 16.Implicit Differentiation cont’d, normal lines.

  5. 17.Normal Lines, Logarithmic Differentiation.

  6. 18.Logarithmic Differentiation, Relative Rates of Change, Constant growth rates.

  7. 19.Exponential Growth, Price Elasticity of demand. Solutions to extra examples. Extra notes on continuously compounded interest.

  8. 20.Elasticity cont’d., Extra notes on elasticity, Solution to Yacht example.

  9. 21.Related Rates, Solution to climbing wall example.

  10. 22.Absolute Maxima and Minima.

  11. 23.Extreme Value Theorem, critical points, and searching for absolute maxima and minima.

  12. 24.Local Maxima/Minima

  13. 25.Intervals of increase/decrease, First Derivative Test, Concavity. Solution to extra local max/min example (pg. 132).

  14. 26.Second derivative test. Extra Example Solution.

  15. •Midterm 2 Review Notes, Problems from Review Session

  16. 27.Template Notes, Asymptotes and curve sketching.

  17. 28.Optimization I (by Matt Coles)

  18. 29.Optimization II, Solution to extra business example. 

  19. 30.Optimization III, Tangent line example

  20. 31.Linear Approximations

  21. 32.Errors in Linear Approximation

  22. 33.Errors in Linear Approximation (continued), Solution to extra example

  23. 34.Taylor polynomials

  24. 35.Derivatives of Inverse Trig Functions, asymptote review, Extra example (arctan)

  25. 36.Slant asymptote review, Final exam notes, Extra notes and problems on slant asymptotes, Partial answers to extra slant asymptote problems

Review Session Notes

Instructor: Cindy Blois Teaching Assistant: Zhihao (Tony) Guo Lectures: Buchanan A202, MWF 11:00-12:00. Textbook: Calculus: Early Transcendentals, Vol 1, 3rd Ed. for UBC, by Briggs and Cochran. Instructor office hours: Mon 12-1pm, Wed 3-4pm, and Fri 12-1pm, in LSK 300C. TA office hours: Thursdays, 1-2pm in LSK 300C. Syllabus (click to view)



Instructor: Cindy Blois

Teaching Assistant: Zhihao (Tony) Guo

Lectures: Buchanan A202, MWF 11:00-12:00.

Textbook: Calculus: Early Transcendentals, Vol 1, 3rd Ed. for UBC, by Briggs and Cochran.

Instructor office hours:   Mon 12-1pm, Wed 3-4pm, and Fri 12-1pm, in LSK 300C.

TA office hours: Thursdays, 1-2pm in LSK 300C.

Syllabus (click to view)

Announcements

Announcements

  1. •Extra office hour: Dec. 5, 9:15-11am in Math Annex 1102.

  2. •Review Session Notes

  3. •Extra notes and problems on slant asymptotes, partial answers

  4. •Past Exams

  5. •2011 Final Exam

  6. •Information on Final Exam

  7. •The Final Review Session has been scheduled for 1-3pm, Monday, Dec. 3, in our usual classroom, Buchanan A202.  (Location is subject to change.)

  8. •Quiz 11 Practice Problems have been updated with partial final answers.

  9. •The Final Exam will be in SWNG 221 at 12 noon on Dec. 5. 

  10. •Midterm 2 exam solutions posted below.

  11. •Midterm 2 Review Notes (from review session)

  12. •Problems from Review Session (Mock Midterm 2: problems 2c and 4)

  13. •Exam-writing tips (from review session)

Section 108, 2012 Winter Term 1

Basic Information

Links/Resources

Math 104/184 common webpage Connect (Your grades are posted here.) Webwork Past Exams Math Learning Centre: Drop-in tutorial centre in LSK 301/302, Mon-Fri 8am-4pm. AMS Tutoring Math Exam Resources (wiki for past exam solutions) Math 184 Workshops (Find extra practice problems here.) Clicker FAQ Math 100 (previous course) The course material is very similar, so you might find the resources there helpful. Wolfram Alpha (great for checking your answers!)



  1. • Math 104/184 common webpage

  2. • Connect (Your grades are posted here.)

  3. • Webwork

  4. • Past Exams

  5. • Math Learning Centre: Drop-in tutorial centre in LSK 301/302, Mon-Fri 8am-4pm.

  6. • AMS Tutoring

  7. • Math Exam Resources (wiki for past exam solutions)

  8. • Math 184 Workshops (Find extra practice problems here.)

  9. • Clicker FAQ

  10. • Math 100 (previous course)  The course material is very similar, so you might find the resources there helpful.

  11. • Wolfram Alpha (great for checking your answers!)

Differential Calculus with Applications to Commerce and Social Sciences

Lecture Notes, etc.

Week 0 Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Weeks 11 and 12



  1. • Week 0

  2. • Week 1

  3. • Week 2

  4. • Week 3

  5. • Week 4

  6. • Week 5

  7. • Week 6

  8. • Week 7

  9. • Week 8

  10. • Week 9

  11. • Week 10

  12. • Weeks 11 and 12

Learning Goals

The weekly quiz problems will be chosen from the following problem sets. Quiz 1 Practice Problems (Friday, Sept. 14) Quiz 2 Practice Problems (Friday, Sept. 21) Quiz 3 Practice Problems (Friday, Sept. 28) Quiz 4 Practice Problems (Friday, Oct. 5) Quiz 4 Practice Problems: Partial Solutions Quiz 5 Practice Problems (Monday, Oct. 15) Quiz 6 Practice Problems (Monday, Oct. 22) Quiz 7 Practice Problems (Monday, Oct. 29) Quiz 8 Practice Problems (Monday, Nov. 5) Quiz 9 Practice Problems (Wednesday, Nov. 14) Quiz 10 Practice Problems (Friday, Nov. 23) Quiz 11 Practice Problems (Friday, Nov. 30)


The weekly quiz problems will be chosen from the following problem sets.

Quiz 1 Practice Problems (Friday, Sept. 14)

Quiz 2 Practice Problems (Friday, Sept. 21)

Quiz 3 Practice Problems (Friday, Sept. 28)

Quiz 4 Practice Problems (Friday, Oct. 5)

     Quiz 4 Practice Problems: Partial Solutions

Quiz 5 Practice Problems (Monday, Oct. 15)

Quiz 6 Practice Problems (Monday, Oct. 22)

Quiz 7 Practice Problems (Monday, Oct. 29)

Quiz 8 Practice Problems (Monday, Nov. 5)

Quiz 9 Practice Problems (Wednesday, Nov. 14)

Quiz 10 Practice Problems (Friday, Nov. 23)

Quiz 11 Practice Problems (Friday, Nov. 30)

Quiz Practice Problems

Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11


  1. • Quiz 1

  2. • Quiz 2

  3. • Quiz 3

  4. • Quiz 4

  5. • Quiz 5

  6. • Quiz 6

  7. • Quiz 7

  8. • Quiz 8

  9. • Quiz 9

  10. • Quiz 10

  11. • Quiz 11

Quiz Solutions

MIDTERM 2 (white) MIDTERM 2 (green) Practice Midterm 2 and Solutions. MIDTERM 1 (white) MIDTERM 1 (pink) Practice Midterm 1 and Solutions.



  1. • MIDTERM 2 (white)

  2. • MIDTERM 2 (green)

  3. • Practice Midterm 2 and Solutions.

  4. • MIDTERM 1 (white)

  5. • MIDTERM 1 (pink)

  6. • Practice Midterm 1 and Solutions.

Exam Solutions

Continuous compound interest, Answers Elasticity of Demand, Answers Business-type related rates, with Solutions.


  1. •Continuous compound interest, Answers

  2. •Elasticity of Demand, Answers

  3. •Business-type related rates, with Solutions.

Extra Problems