# Math 3350 – Higher Mathematics for Engineers and Scientists I

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### Spring 2018: Section 20

Textbook: Dennis G. Zill — Advanced Engineering Mathematics, 6th edition (with online access, although we will not use that)
Lectures: TR 2pm–3:20pm in MA017
Office hours: TR 3:30pm–5pm, and by appointment
Material covered: Sections 1.1–1.2, 2.1–2.8, 3.1–3.6, 3.8, 4.1–4.5, 5.1 & 5.3
Grading: During the term, there will be two in-class exams, each taking up an entire class period. Additionally, there will be ten homework assignments, of which your eight best will count towards your final grade. The final grade will be computed according to the following percentages:
 In-class exams: 30% (15% each) Homework: 40% (5% each) Final exam: 30%
The dates of the in-class exams are March 1 and April 12.
Important dates:
 Jan. 18: First day of classes March 10–18: Spring Break April 2: No classes May 8: Last day of classes May 11: Final exam, 4:30pm–7pm
Handouts:
 Syllabus Handout for first in-class exam
Practise problems: Problems and solutions
Learning outcomes: The students will study topics of differential equations, their solutions, and applications to physical sciences and engineering. In particular, the students will learn
• to recognise a differential equation and its solutions;
• to compute solutions to first-order differential equations;
• to compute solutions of higher order differential equations;
• to use Laplace transforms; and
• the fundamental properties of power series, and how to use them to solve linear differential equations.
Learning assessment: The expected learning outcomes for the course will be assessed through in-class exams and activities, homework assignments and class discussions.
 Schedule Date Material covered Suggested exercises Other 1/18 1.1, 1.2 1.1: 1, 3, 5, 11, 15, 12; 1.2: 1, 9, 17, 19, 25, 31 1/23 1.2, 2.1, 2.2 2.1: 20; 2.2: 5, 15, 21 First homework assignment 1/25 2.2, 2.3 2.2: 45(ac); 2.3: 3, 13, 21, 25 1/30 2.4 2.4: 1, 3, 11, 27, 31 Second homework assignment 2/1 2.5 2.5: 1, 7, 15, 21, 25 2/6 2.6, 3.1 3.1: 3, 5, 9, 15, 19 Third homework assignment 2/8 3.1, 3.2 3.1: 31, 35 2/13 3.2, 3.3 3.2: 1, 9; 3.3: 5, 11 Fourth homework assignment 2/15 3.3 3.3: 15, 19, 23, 27 2/20 3.4 3.4: 1, 7, 9, 15, 25 Fifth homework assignment 2/22 3.5 3.5: 1, 7, 9 2/27 3.6 3.6: 1, 5, 11, 19 3/1 First in-class exam 3/6 First in-class exam 3/8 3.8 March 10–28: Spring Break 3/20 Sixth homework assignment 3/22 3/27 Seventh homework assignment 3/29 4/3 Eighth homework assignment 4/5 4/10 4/12 Second in-class exam 4/17 Ninth homework assignment 4/19 4/24 Tenth homework assignment 4/26 5/1 5/3 5/8 5/11 Final exam, 4:30pm–7pm
Another approach to calculus: Keisler's book on Non-standard analysis.