Calculus for Engineering or Physics

Carleton University, Mathematics 1004

Updated August 6, 2025

This site can be used by all students (except for test dates, etc.) registered in MATH 1004 during the Fall/Winter Term regardless of section.

TEXTBOOK:

A very limited number of softcover copies will be available in HP 4380 for $100 (net/tax in); cash or e-transfer only to thenolanco@gmail.com - no credit cards.

For the current Digital edition of The ABC’s of Calculus, go to http://mingarelli.com/books/the-abcs-of-calculus-single-variable/ and order it for the term, i.e., 150 days, for $95. VISA and Cryptocurrency supported.

Solutions Manual for 2022 Pandemic edition of the above textbook Click here

Solutions Manual for 2019/2020/2021 edition of the above textbook Click here

OFFICE HOURS: TBA, check with your instructor

Twitter: @amingarelli

Youtube (myawesomemathprof channel- created by your classmates during the 2011-2012 academic year)

Tell us what you think about our teaching at Rate My Professors.com

Calculators: Non-programmable ones only.

INSTRUCTOR:   Dr. Angelo Mingarelli or ask your Instructor,

OFFICE: Herzberg Physics Building, 4380.

Telephone: Normally 613 520 2600 ext. 2162 (Contact AM by email these days.)

NOTE: Classes should be in person, as is usual, unless otherwise notified.

Fall classes begin: September 3, 2025

Fall classes end: December 5, 2025

Important dates

The last date to drop your class this fall is November 19, 2022.

How to study for this course (my idea)

How to study for this course (someone else's idea)

Email: angelo.mingarelli@carleton.ca

Private tutors:leilamath58@gmail.com, super.sam@hotmail.com. Please contact them directly, they are both excellent!

Detailed Course Outline (for Dec 23, 2021 edition of text)

 

WEEK

TESTS/ASSG

SECTIONS

TOPICS

1

 

Chapter 1 (all)

Intro Ch. 2

Functions, Trig. Chapter 10

 

2

 

 

Chapter 2 (all)

3.1-3.3

Limits and continuity, Evaluating and guessing limits at infinity, Derivatives and the Chain rule.

 

3

 

 

Sections 3.4-3.8

 

Implicit functions, Derivatives of trigonometric functions, Inverse functions,

 

4

 

Assignment 1

 

Sections 3.8-3.9

Inverse trigonometric functions and their derivatives, L'Hospital's Rule

 

5

 

TEST 1

 

Sections 4.1-4.6 (all)

Chapter 5

 

Exponentials, logarithms and their derivatives. Curve sketching basics

 

 

 

6

 

 

Chapter 6.1- 6.4 (all)

 

Chapter 7.1 - 7.2

 

Anti-derivatives, Indefinite integral, Summation, Area, Definite integral,

Area, Trig identities (review), Integration by substitution (change of variable)

 

 

7

FALL BREAK

(OCT. 20-24)

 

NO CLASSES

 

 

NO CLASSES

8

 

ASSIGNMENT 2

Chapter 7.3 and 7.3.1-7.3.4

 

Integration by parts (incl. all subsections)

 

 

 

9

 

Chapter 7.4 and 7.4.1-7.4.2

Chapter 7.5.1

 

Integration of Partial fractions,

Integration of powers of sines and cosines,

 

 

 

 

10

 

 

 

TEST 2

Chapter 7.5.2 and

 

7.6, (7.6.1-7.6.2) and 7.7

 

Integration of powers of secants and tangents

Trigonometric substitutions, (incl. all subsections), Improper integrals

 

 

11

 

Chapter 7.7-7.8

Chapter 7.9

Improper integrals,

Area between two curves, Volume of solids of revolution

 

 

12

 

 

Chapter 7.9

Volume of solids of revolution

 

 

EVALUATION (Sept. 2025)

NORMALLY Your final grade will be calculated as:

Tutorial attendance: expected but not graded.

4 tests of 50 minutes at a time TBA by your individual instructors. We automatically choose the best 3 out of these 4 tests for a total of 60% of your final mark.

Final multiple choice exam: 40%

Missed tests will be dealt with at a unique predetermined time before the end of term (see accommodations below). Ask your instructor for more details.

1% BONUS:

There is a 1% bonus option available in this course.

To achieve this bonus, you must complete the following by Tuesday September 30 at 11:59 p.m.:

1. Log into Brightspace and select the course “MATH4U Fall 2025” (in the “Fall 2025” term)

2. In the top banner, select “Tools” and then “Quizzes”

3. Select the quiz called “1% Bonus Quiz for Other Science and Engineering” UNLESS you are taking PHYS 1001 or PHYS 1002, then you should instead select the quiz  “1% Bonus for Physics and Engineering Physics”.

4. Complete the quiz to earn your 1%.

 If you do not complete the quiz by the deadline, there is another opportunity to claim your 1% bonus. This will be to set up a mentorship meeting with our Science Student Success Centre. They will contact students directly after the quiz deadline to see if you are interested in setting up a mentorship meeting to claim your 1% bonus.

Notes:

1. If you do not see “MATH4U Fall 2025” in your Fall 2024 courses, please contact mathmatters@carleton.ca and they will work to fix the issue.

  1. To get the 1%, you must complete all questions in the quiz, but you will be awarded the 1% regardless of what grade you receive on this quiz. The purpose of the quiz is to help you gauge how prepared you are for this course and to introduce study strategies that should help you in your university courses.

  2. If you find you are struggling on the quiz questions, it would be helpful to complete the review in MATH4U and also seek out additional resources such as the Math Tutorial Centre or MS-LAP.

 

Use of Generative AI in your coursework/tests (is not permitted).

Accommodations: Carleton is committed to providing academic accessibility for all individuals. You may need special arrangements to meet your academic obligations during the term. The accommodation request processes, including information about the Academic Consideration Policy for Students in Medical and Other Extenuating Circumstances, are outlined on the Academic Accommodations website. For specific accommodations please go to https://students.carleton.ca/course-outline/

 

 

Miscellaneous

Students with disabilities requiring academic accommodations in this course are encouraged to contact the Paul Menton Center for Students with Disabilities (500 University Center: Call 613-520-6608 or email pmc@carleton.ca)

Statement on Academic Integrity Students are expected to uphold the values of academic integrity, which include fairness, honesty, trust, and responsibility. Examples of actions that that compromise these values include but are not limited to plagiarism, accessing unauthorized sites for assignments or tests, unauthorized collaboration on assignments or exams, and using artificial intelligence tools such as ChatGPT when your assessment instructions say it is not permitted.

Misconduct in scholarly activity will not be tolerated and will result in consequences as outlined in Carleton University’s Academic Integrity Policy. A list of standard sanctions in the Faculty of Science can be found here.

Additional details about this process can be found on the Faculty of Science Academic Integrity website. 

Students are expected to familiarize themselves with and abide by Carleton University’s Academic Integrity Policy.

Student Rights & Responsibilities

Students are expected to act responsibly and engage respectfully with other students and members of the Carleton and the broader community. See the 7 Rights and Responsibilities Policy for details regarding the expectations of non-academic behaviour of students. Those who participate with another student in the commission of an infraction of this Policy will also be held liable for their actions.