Integrated Mathematics and Physics II (IPS*1510)

Code and section: IPS*1510*01

Term: Winter 2018

Instructor: Martin Williams


Course Information

Instructors’ Details

Name Email Office Office Hours
Martin Williams MacNaughton 213 Wednesday:
4:00pm - 5:30pm
2:30pm - 4:00pm
Andrew Skelton MacNaughton 517 Wednesday:
2:30pm - 4:00pm
2:00pm - 3:30pm

Teaching Assistants

Name Department Email
Al Rahemtulla Physics
Matt Steffler Physics
Christina Burbadge Physics
Harry Gaebler Math
Jeremy Gilbert Math

Course Details


Department of Physics and Department of Mathematics and Statistics.

Course Description

This is the second foundational course for students in B.Sc. mathematical and physical sciences majors. The disciplines of Mathematics and Physics are taught in an integrated fashion that demonstrates how they support and enrich one another. Thermodynamics, integration, electrostatics, magnetism, partial derivatives, multidimensional integrals, waves, Taylor's series, and spectroscopy are presented in a harmonized fashion to ensure students have an improved understanding of these fundamentals.

Course Objectives

The course is intended to give a student a grounding in topics in physics and calculus in a manner that uses the physics as an example to ground the calculus and provides the calculus needed for the topics in physics.

Credit Weight

1.00 credits.



Class Schedule and Location

Physics Lectures: Monday, Wednesday, Friday (10:30-11:20), MacNaughton 113.
Mathematics Lectures: Monday, Wednesday, Friday (1:30-2:20), MacNaughton 113.

Physics Labs/Tutorials Schedule

Section Time Location
0103 and 0107 Tues. 11:30-2:20 MacNaugton 301/415
0109 and 0110 Tues. 7:00-9:50 MacNaugton 301/415
0102 and 0106 Wed. 7:00-9:50 MacNaugton 301/415
0104 and 0108 Thurs. 11:30-2:20 MacNaugton 301/415

Mathematics Lab Schedule

Section Time Location
0106, 0107, 0108 and 0110 Fri. 8:30-9:20 Macdonald Institute 103
0102, 0103, 0104 and 0109 Fri. 9:30-10:20 Macdonald Institute 103

Course Materials

  • University Physics, 14th Edition, Volumes 1, 2, and 3, by H. Young and R. Freedman.
  • Quick Start Calculus for Integrated Physics, Second Edition, by D. Ashlock.
  • FlipItPhysics (formerly smartPHYSICS). There will be assigned prelecture and homework questions that will be graded online using FlipIt Physics (see handout for more details). Research has shown that this software has a positive effect on students learning of physics. To complete the online homework, you will need to purchase a stand-alone Student Access Kit for FlipItPhysics. The University Bookstore offers one semester access cards (or two semester cards for students going on to IPS*1510 in the Winter).
  • i-Clicker/Reef Student Response Systems (commonly known as clickers) are available for purchase in the University Bookstore or Online.
  • Course Website: If there is a discrepancy between your posted grade and your assessment grade, it is your responsibility to notify the instructor.

Library Reference Material

Available at the Reserve Desk in the Library are the following:

  • a copy of the course textbooks
  • Study Guide to Accompany University Physics, Volumes I, II, and III.

There are many additional reference texts available on the library shelves.
Look for call numbers beginning with QC21 or QC23 (Physics), QA155, QA303 (Math).

Course Themes

This course is divided into themes in order to emphasize some of the applications of physics and mathematics. The thematic approach is intended to give the material a grounding in the physical world outside of the classroom.

  1. Physics of charge: from thunderstorms to the Large Hadron Collider.
  2. Electricity at home - charges at work. Students will learn to describe charges in various situations and analyze circuits using mathematical models.
  3. Medical imaging and therapy. Emphasis will be placed on physical phenomena used in the medical Field: these includes different types of spectroscopy and imaging techniques.


Week Dates Physics Lectures Mathematics Lectures Physics Labs and Tutorials Math Labs and Assignments
1 Jan 8-12 Electric Charges, Forces and Fields (21, 25.1) Partial Derivatives (10.1) none Math Lab #0 (not marked)
2 Jan 15-19 Electric Force and Field Calculations (21) Directional Derivatives, Gradient, Level Curves (10.2) Physics Tutorial Math Lab #1
Assignment 1 due
3 Jan 22-26 Work, Energy, Electric Potential (23) Tangent Planes (10.3)
Optimization (11.1)
Physics Lab 1: Electrostatic Field Mapping Math Lab #2 Assignment 2 due
4 Jan 29-Feb 2 Dipoles, Electric Flux, Gauss' Law (21,22,24) Constrained Optimization
Physics Tutorial Midterm prep
Physics Quiz 1
Math Lab #3 Assignment 3 due
5 Feb 5-9
Midterm 1
Capacitance, Dielectrics, Circuits (24,25) Integration Review
Arc Length (12.2)
Physics Lab 2: Ohm's Law Math Lab #4
6 Feb 12-16 Circuit analysis: Ohm's Law (25,26) Arc Length (12.2)
Multiple Integration (12.3)
Physics Tutorial Math Lab #5 Assignment 4 due
X Feb 19-23 Winter Break / Reading Week      
7 Feb 26-Mar 2 Circuit analysis: Kirchhoff's Rules (26) Multiple Integration (12.3) Physics Lab 3: Kirchoff’s Laws Math Lab #6 Assignment 5 due
8 Mar 5-9 Magnetism, Lorentz Force Law (27) Sequences and Geometric Series (13.1) Physics Tutorial
Physics Quiz 2
Math Lab #7 Assignment 6 due
9 Mar 12-16 Magnetic Fields, Ampere's Law (28) Convergence Tests (13.2) Physics Lab 4 (Formal): Charge to mass Ratio of Electron Math Lab #8 Assignment 7 due
10 Mar 19-23
Midterm 2
Induction, Faraday-Lenz Law (29) Convergence Tests (13.2)
Power Series (13.3)
Physics Tutorial Math Lab #9
11 Mar 26-30 Mechanical Waves and Interference (15,32,35,36) Power Series (13.3) Physics Lab 5: Photoelectric Effect No lab (Easter)
12 Apr 2-6 EM waves, modern physics (32,38) Taylor Series (13.4) Physics Tutorial Exam prep
Physics Quiz 3
Math Lab #10 Assignment 8 due


Value Assessment
10% Math Labs (10, completed in lab, see calendar)
10% Math Assignments (8, due Fridays at noon, see calendar)
5% Math In-Class Activities (i-Clicker)
9% Physics Quizzes (3, see lab schedule)
5% FlipItPhysics Online Homework (6-8)
16% Lab Experiments (5, see lab schedule)
10% Midterm 1 (week 5, time TBD, location TBD)
10% Midterm 2 (week 10, time TBD, location TBD)
25% Final Exam (April 18, 11:30-1:30, location TBD)

Midterm Tests

An announcement will be made in class regarding the scope of material for the term tests. The midterm exams will be held outside of class time in week 5 and week 10 (time and location TBA). The midterms will consist of both multiple-choice questions, and longer problems. More details will be provided by the Professors as the semester progresses.

Final Examination

The final examination, time and date, given in the university schedule, will cover the entire course.

Lab Experiments

The physics laboratory experiments (see schedule) are described in detail in the Lab handouts posted on courselink. Experiments are to be completed and reports handed in during the laboratory period. The laboratory experiments will be done in MacNaughton 301. If you miss a quiz or a lab, you must provide your TA with a written explanation for possible academic consideration.

Formal Laboratory Experiment

There will be one formal physics laboratory experiment (finding e/m ratio). The experiment will be completed in week 9 and the formal written report will be submitted in week 11. Further instructions will be given at the time of the laboratory experiment.

Math Labs

Math labs will consist of two stages: a 10-minute individual quiz and a group investigation. Quizzes will be on material covered in the three class days before the lab.

Math Assignments

Math assignments will consist of 2-3 questions and are designed to be more challenging than typical practice problems. You are advised to try practice questions from the textbook prior to attempting these questions. Assignments are based on the previous week’s material and are due Fridays at noon.

Math In-Class Activities

Math In-Class Activities will use the i-Clicker system.

Online Homework

During the course of the semester there will be 6-8 online homework (smartPHYSICS) assignments for students to complete.

Course Policies

E-mail Communication

As per university regulations, all students are required to check their <> e-mail account regularly: e-mail is the official route of communication between the University and its students.

When You Cannot Meet a Course Requirement

When you find yourself unable to meet an in-course requirement because of illness or compassionate reasons, please advise the course instructor (or designated person, such as a teaching assistant) in writing, with your name, id#, and e-mail contact. See the undergraduate calendar for information on regulations and procedures for Academic Consideration.

Drop Date

The last date to drop one-semester courses, without academic penalty, is Friday, March 9. For regulations and procedures for Dropping Courses, see the Undergraduate Calendar.


The University promotes the full participation of students who experience disabilities in their academic programs. To that end, the provision of academic accommodation is a shared responsibility between the University and the student.

When accommodations are needed, the student is required to first register with Student Accessibility Services (SAS). Documentation to substantiate the existence of a disability is required, however, interim accommodations may be possible while that process is underway.

Accommodations are available for both permanent and temporary disabilities. It should be noted that common illnesses such as a cold or the flu do not constitute a disability.

Use of the SAS Exam Centre requires students to book their exams at least 7 days in advance, and not later than the 40th Class Day.

Academic Misconduct

The University of Guelph is committed to upholding the highest standards of academic integrity and it is the responsibility of all members of the University community – faculty, staff, and students – to be aware of what constitutes academic misconduct and to do as much as possible to prevent academic offences from occurring. University of Guelph students have the responsibility of abiding by the University's policy on academic misconduct regardless of their location of study; faculty, staff and students have the responsibility of supporting an environment that discourages misconduct. Students need to remain aware that instructors have access to and the right to use electronic and other means of detection.

Please note: Whether or not a student intended to commit academic misconduct is not relevant for a finding of guilt. Hurried or careless submission of assignments does not excuse students from responsibility for verifying the academic integrity of their work before submitting it. Students who are in any doubt as to whether an action on their part could be construed as an academic offence should consult with a faculty member or faculty advisor.
The Academic Misconduct Policy is detailed in the Undergraduate Calendar.

Recording of Materials

Presentations which are made in relation to course work—including lectures—cannot be recorded or copied without the permission of the presenter, whether the instructor, a classmate or guest lecturer. Material recorded with permission is restricted to use for that course unless further permission is granted.