# Fall 2023 - MATH 151 D400

## Overview

• #### Course Times + Location:

Sep 6 – Dec 5, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Surrey

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

• #### Exam Times + Location:

Dec 9, 2023
Sat, 3:30–6:30 p.m.
Surrey

Dec 9, 2023
Sat, 3:30–6:30 p.m.
Surrey

• #### Instructor:

Natalia Kouzniak
kouzniak@sfu.ca
1 778 782-7507
• #### Prerequisites:

Pre-Calculus 12 (or equivalent) with a grade of at least A, or MATH 100 with a grade of at least B, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test.

## Description

#### CALENDAR DESCRIPTION:

Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Logarithmic and exponential functions, trigonometric functions, inverse functions. Limits, continuity, and derivatives. Techniques of differentiation, including logarithmic and implicit differentiation. The Mean Value Theorem. Applications of differentiation including extrema, curve sketching, Newton's method. Introduction to modeling with differential equations. Polar coordinates, parametric curves. Students with credit for either MATH 150, 154 or 157 may not take MATH 151 for further credit. Quantitative.

#### COURSE DETAILS:

MATH 151 consists of 3 hours of lecture each week. Lectures contain both MATH 151 and MATH 150 students in the same room. Students enrolled in MATH 150 must register for a 1-hour seminar, whereas students enrolled in MATH 151 do not.

Chapter 1 - Functions and Models
1.1 Four ways to represent a function
1.2 Mathematical Models: A Catalogue of Essential functions
1.3 New Functions from Old Functions
1.4 Exponential Functions
1.5 Inverse Functions and Logarithms

Chapter 2 - Limits and Derivatives
2.1 Tangent and Velocity Problems
2.2 Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function

Chapter 3 - Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions
3.2 Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.7 Rates of Change in the Natural and Social Sciences
3.8 Exponential Growth and Decay
3.8 Newton's Law of Cooling
3.9 Related Rates
3.10 Linear Approximations and Differentials

Chapter 4 - Applications of Differentiation
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and L'Hospital's Rule
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.8 Newton's Method

Chapter 10 - Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates

NOTE: Diagnostic Test in class on Friday September 8th, 2023.

• Final Exam 40%
• Midterm 1 15%
• Midterm 2 20%
• Quizzes 10%
• Online Assignments 10%
• Crowdmark Assignments 5%

#### 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 the posting of marks. Please pay careful attention to the options discussed in class at the beginning of the semester.

#### REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).

## Materials

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

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/MATH 151 in Fall 2022 will be valid for use for MATH 152/MATH 251 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.