# Fall 2023 - MATH 152 D100

## Overview

• #### Course Times + Location:

Sep 6 – Dec 5, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby

Oct 10, 2023: Tue, 8:30–9:20 a.m.
Burnaby

• #### Exam Times + Location:

Dec 18, 2023
Mon, 12:00–3:00 p.m.
Burnaby

Dec 18, 2023
Mon, 12:00–3:00 p.m.
Burnaby

• #### Instructor:

Nathan Ilten
nilten@sfu.ca
1 778 782-9887
• #### Prerequisites:

MATH 150 or 151, with a minimum grade of C-; or MATH 154 or 157 with a grade of at least B.

## Description

#### CALENDAR DESCRIPTION:

Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations and growth models. Sequences and series, series tests, power series, convergence and applications of power series. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.

#### COURSE DETAILS:

Chapter 5 - Integrals

1. Areas and Distances
2. The Definite Integral
3. The Fundamental Theorem of Calculus
4. Indefinite Integrals
5. Substitution Rule

Chapter 6 - Applications of Integration
1. Areas between Curves
2. Volumes
3. Volumes by Cylindrical Shells (optional)
5. Average Value of a Function (optional)

Chapter 7 - Techniques of Integration
1. Integration by Parts
2. Trigonometric Integrals
3. Trigonometric Substitution
4. Integration of Rational Functions by Partial Fractions
5. Strategy for Integration
6. Integration Using Tables and Computer Algebra Systems
7. Approximate Integration
8. Improper Integrals

Chapter 8 - Further Applications of Integration
1. Arc Length
2. Area of a Surface of Revolution

Chapter 10 - Parametric Equations and Polar Coordinates
2. Calculus with Parametric Curves

Chapter 11 - Infinite Sequences and Series
1. Sequences
2. Series
3. The Integral Test and Estimates of Sums
4. The Comparison Tests
5. Alternating Series
6. Absolute Convergence and the Ratio and Root Tests
7. Strategy for Testing Series
8. Power Series
9. Representations of Functions as Power Series
10. Taylor and McLaurin Series
11. Applications of Taylor Polynomials

Chapter 9 - Differential Equations
1. Modeling with Differential Equations
2. Direction Fields
3. Separable Equations
4. Models for Population Growth

• Online Assignments & Quizzes 20%
• Midterm 1 15%
• Midterm 2 15%
• Final Exam 50%

#### NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and t he posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

## Materials

Calculus: Early Transcendentals, 9th Edition
James Stewart
Multi-term Enhanced WebAssign & Electronic Textbook Access

*If you purchased multi-term 9th Edition WebAssign & Electronic Textbook Access for Calculus I in Fall 2022, Spring 2023 or Summer 2023, you do NOT need to purchase this again!*

Students purchase a multi-term WebAssign license which includes access to the electronic version of the textbook and WebAssign assignments. WebAssign assignments are part of the marking scheme for the course.

Access to WebAssign and the Stewart 9th edition electronic textbook continues for the duration of departmental use of the 9th edition. WebAssign access purchased for MATH 150/151/152 or 251 in any of Fall 2022, Spring/Summer/Fall 2023 remains valid for use for these courses if taken within the next 2-4 years. No further WebAssign purchase will be required.

Buying a hard copy of a previous edition of this textbook will not provide access to the current 9th Edition Stewart WebAssign problems.

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.