Math 105 section 207

Integral Calculus with Applications to Commerce and Social Sciences.

  • When and where: Monday-Wednesday-Friday 8:00am to 9:00am MATX 1100.
  • My office: Chemical & Biological Engineering building 437 (here).
  • e-mail: rakotonirina@math.ubc.ca
  • Office hours: Thursday 12am to 01pm (LSK300C). Or at my office by appointment if you can’t make these hours.
  • Final exam (50%)
  • 2 midterms (17% + 17% = 34%)
  • WebWork assignements (10%)
  • Weekly homeworks (given Friday, due: Monday 8am before class) (6%)

All information about the course is at the common course website

These are two links for last year classes (many exam samples): Winter 2015 Term 2 or Winter 2015 Term 2

MATH 105 final exam notice

  • 60% of the final exam will consist of the questions which are similar to the questions in the list below.
  • the other 40% is a combination of what we’ve taught

Final: April 24 from 3:30 pm to 6:00 pm

Lecture notes and related exercises

Week 1: Vectors + examples on dot product

Week 2: Planes + Function 2 variables + Review notes derivatives + Partial Derivatives

  • Section 12.1: 1, 3, 11, 13, 29, 31, 33.
  • Section 12.2: 1, 3, 7, 11, 15, 17, 19, 31, 33, 35, 37, 53, 65
  • Section 12.4: 1, 3, 5, 17, 21, 23, 25, 29, 33, 37, 41, 43, 61, 63

Homework week 2: Homework + Solutions

Week 3-4: Min/Max Problems + Absolute Min/Max + Lagrange Multipliers

Homework week 3: Homework + Solutions

Homework week 4: Homework

Week 5: Integrals_1 (corrected) + Integrals_2

Week 6: Integral_2 (continuation)Substitution + Integration by Parts

Homework week 6: Homework + Solutions

Week 7: Trigonometric Integrals

  • Section 7.3: 13, 15, 21, 25, 35, 37, 41, 53, 59, 61

Week 8: Trigonometric Substitution + Partial Fractions

  • Section 7.4: 7, 9, 17, 25, 27, 35, 37, 47, 59, 63, 65
  • Section 7.5: 1, 3 a, 3 b, 15, 19, 21, 27, 29, 63, 65, 67, 71, 77, 79

Homework week 8: Homework + Solutions

Week 9: Numerical Integration + Improper Integration + Introduction to Differential Equation

  • Section 7.7: 7, 9, 11, 13, 15, 17, 39, 41, 49, 51, 59
  • Section 7.8: 9, 11, 15, 17, 27, 43, 45, 71, 73
  • Section 7.9: 17, 19, 25, 27, 29, 31, 33, 39, 63, 65, 6

Week 10: Probability + Probability Appendix + Probability (continue)

Week 11: Sequences and Infinite SeriesInfinite Series + Geometric Series/Sum

  • Section 8.1: 3, 7, 9, 15, 19, 21, 23, 29, 31, 35, 57, 69, 71, 73, 75, 77
  • Section 8.2: 3, 5, 9, 11, 17, 29, 45, 47, 49, 75, 79, 81
  • Section 8.3: 7, 9, 11, 13, 17, 19, 21, 23, 25, 29, 31, 33, 35, 37, 39, 49, 61, 63, 69

Homework week 11: Homework + Solutions

Week 12: The divergence and integral tests + The ratio and comparison tests

  • Section 8.4: 3, 5, 9, 13, 21, 23, 25, 29, 31, 45, 47, 49, 53, 55, 57
  • Section 8.5: 9, 11, 13, 15, 17, 27, 29, 31, 33, 35, 37

Week 13: Power Series + Differentiating and integrating Power Series + Taylor/Maclaurin Series

  • Section 9.2: 17, 19, 21, 23, 25, 27, 29, 31, 33, 41, 45, 47, 49, 63, 65, 67
  • Section 9.3: 9, 11, 15, 23, 25, 29, 33, 35
  • Section 9.4: 25, 27, 29, 31, 55, 61]

Past finals can be found here and their solutions here

Dear Students,
The MLC is doing two identical review sessions for MATH105 students at 2pm-4pm and 4pm-6pm at April 20th.
The location is FDRM153. The facilitator is Abhishek Kumar Shukla.