Calculus for Engineering or Physics

Carleton University, Mathematics 1004

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.

Updated December 23, 2021


For the 2022 Digital edition of The ABC’s of Calculus, go to ​​ and order it for the term, i.e., 150 days, for $50. 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)

The Calendar Year, 2020-2021

Tell us what you think about our teaching at Rate My

Calculators: This is the second year of the great pandemic, so all classes will be online and pretty much anything is permitted except plagiarism, of course.

INSTRUCTOR:   Dr. Angelo Mingarelli or ask your Instructor,

(AM is normally in Herzberg Building # 4380 but during the pandemic email or zoom is key).

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

Classes start: January 2022

NOTE: Classes may be a mix of synchronous and asynchronous classes. The ZOOM link for classes will be on Brightspace.

Winter classes end: April 2022

Tutorials: Check with your instructor

How to study for this course (my idea)

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


Private tutors:, Please contact them directly, they are both excellent!

Detailed Class Outline

In the following table 1 week represents 2 lectures, and NOT a full week as usual.

Tests will be open for 24 hours and you'll choose the 2 hour period within this time frame for when you write them.

Thsi outline is for the new 2022 ABC's of Calculus Edition dated Dec 2021








Chapter 1 (all)

Functions, Review of Chapter 1 in text,

Trigonometry, Appendix C

Intro to Chapter 2


Chapter 2 (all), 3.1-3


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


Chapter 3.4 - 3.8

Implicit functions, Derivatives of trigonometric functions, Inverse functions,



Chapter 3.8 - 3.9

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



Chapter 4.1- 4.6 (all)

Exponentials, logarithms and their derivatives




Chapter 6.1- 6.4 (all)

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


Chapter 7.1 - 7.2

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


Chapter 7.3 and 7.3.1-7.3.4

Integration by parts (incl. all subsections)



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,


Chapter 7.5.2 and

7.6, (7.6.1-7.6.2) and


Integration of powers of secants and tangents

Trigonometric substitutions, (incl. all subsections)

Improper integrals,


Chapter 7.7-7.8

Improper integrals,

Area between two curves


Chapter 7.9

(Chapter 7.10)

Volumes of solids of revolution, Arc length (if time permits)



(last day of classes)




EVALUATION (TBA post 2021)

Your final grade will be calculated as:

Tutorial attendance: expected but not graded.

2 online tests of 120 minutes at a time TBA by your individual instructors: 15%+15%

3 assignments 3 x 15 = 45%

Final: 25%

Missed tests and assignments will be dealt with at a unique predetermined time before the end of term. Ask your instructor for more details.

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