Math 101
Calculus II
Description
Area between curves, techniques of integration. Applications of integration to planar areas and lengths, volumes and masses. First order ordinary differential equations: separable, linear, direction fields, Euler's method, applications. Infinite series, power series, Taylor expansions with remainder terms. Polar coordinates. Rectangular, spherical and cylindrical coordinates in 3-dimensional space. Parametric curves in the plane and space: graphing, arc length, curvature; normal binormal, tangent plane in 3-dimensional space. Volumes and surface areas of rotation. Prerequisite: MATH 100. Notes: (1) Credit can be obtained in at most one of MATH 101, 115, 118, 146, or SCI 100. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students.Learning Outcomes
Calculate integrals by using integration by parts and substitutionsCalculate standard trigonometric integrals and integrals of rational functions
Test and evaluate if an improper integral is convergent or divergent
Find the volume and the area of a solid of revolution, and the length of a curve
Solve separable and linear differential equations
Applying series tests to decide if a series is convergent or divergent
Finding Taylor and Maclaurin series for various functions
Estimate the sum of a numerical series and find the error of the estimation
Approximate functions by Taylor polynomials and find the error of approximation
Solve problems on plane and space parametric curves
Understand and work with polar coordinates and polar curves
Work with cylindrical and spherical coordinates
| Lecture | Seminar | Lab | Credits | Total AU |
|---|---|---|---|---|
| 3 | 0/1 | 1/1 | 3.5 | 44.1 |
| M % | NS % | CS % | ES % | ED % |
|---|---|---|---|---|
| 100 | 0 | 0 | 0 | 0 |
None defined
Undergraduate Program(s)
| 2024/2025 - Winter - Pete-coop - Year 1 |
| 2024/2025 - Winter - Pete - Year 1 |
| 2024/2025 - Winter - Mining - Year 1 |
| 2024/2025 - Winter - Enve-coop - Year 1 |
| 2024/2025 - Winter - Enve - Year 1 |
| 2024/2025 - Winter - Civil-coop - Year 1 |
| 2024/2025 - Winter - Civil - Year 1 |
| 2023/2024 - Winter - Pete-coop - Year 1 |
| 2023/2024 - Winter - Pete - Year 1 |
| 2023/2024 - Winter - Mining - Year 1 |
| 2023/2024 - Winter - Enve-coop - Year 1 |
| 2023/2024 - Winter - Enve - Year 1 |
| 2023/2024 - Winter - Civil-coop - Year 1 |
| 2023/2024 - Winter - Civil - Year 1 |
| 2022/2023 - Winter - Pete-coop - Year 1 |
| 2022/2023 - Winter - Pete - Year 1 |
| 2022/2023 - Winter - Mining - Year 1 |
| 2022/2023 - Winter - Enve-coop - Year 1 |
| 2022/2023 - Winter - Enve - Year 1 |
| 2022/2023 - Winter - Civil-coop - Year 1 |
| 2022/2023 - Winter - Civil - Year 1 |
| 2021/2022 - Winter - Pete-coop - Year 1 |
| 2021/2022 - Winter - Pete - Year 1 |
| 2021/2022 - Winter - Mining - Year 1 |
| 2021/2022 - Winter - Enve-coop - Year 1 |
| 2021/2022 - Winter - Enve - Year 1 |
| 2021/2022 - Winter - Civil-coop - Year 1 |
| 2021/2022 - Winter - Civil - Year 1 |
| 2020/2021 - Winter - Pete-coop - Year 1 |
| 2020/2021 - Winter - Pete - Year 1 |
| 2020/2021 - Winter - Mining - Year 1 |
| 2020/2021 - Winter - Enve-coop - Year 1 |
| 2020/2021 - Winter - Enve - Year 1 |
| 2020/2021 - Winter - Civil-coop - Year 1 |
| 2020/2021 - Winter - Civil - Year 1 |
| 2019/2020 - Winter - Pete-coop - Year 1 |
| 2019/2020 - Winter - Pete - Year 1 |
| 2019/2020 - Winter - Mining - Year 1 |
| 2019/2020 - Winter - Enve-coop - Year 1 |
| 2019/2020 - Winter - Enve - Year 1 |
| 2019/2020 - Winter - Civil-coop - Year 1 |
| 2019/2020 - Winter - Civil - Year 1 |
Sections & Respective Instructors
| EW1 - 2024/2025 - Winter - Instructor non-P.Eng |
| EW1 - 2023/2024 - Winter - Instructor non-P.Eng |
| EW1 - 2022/2023 - Winter - Instructor non-P.Eng |
| EW1 - 2021/2022 - Winter - Instructor non-P.Eng |
| EW1 - 2020/2021 - Winter - Instructor non-P.Eng |
| EW1 - 2019/2020 - Winter - Instructor non-P.Eng |