Engineering Mathematics II
Joe Kahlig
The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems. Additional examples may be included during the lectures to clarify/illustrate concepts.
As an alternate to taking notes on paper, consider taking notes on your laptop using OneNote, or a similar program.
Completed notes will be posted after the section has been finished. Be advised that the Completed notes may not included everything that is said during class.
The problems will be completely worked out but some additional information (hints, warnings, analysis of the problem,..) may not we written out in the notes.
Exam 1 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
5.5: The Substitution Rule | blank | completed | part a part b video pdf |
questions | solutions |
6.1: Area between Curves | blank | completed | part a part b part c video pdf |
questions | solutions |
6.2: Volume | blank | completed | part a part b part c video pdf |
questions additional cross section problems in my 2021 WIR |
solutions |
6.3: Volume by Cylindrical Shells | blank | completed | part a part b video pdf |
questions | solutions |
6.4: Work | blank | completed | part a part b part c video pdf |
questions | solutions |
7.1: Integration by parts | blank | completed | part a part b part c video pdf |
questions | solutions |
7.2: Trig Integrals |
blank | completed | part a part b part c video pdf |
questions | solutions |
Exam 2 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
7.3: Trig Substitution |
blank | completed | part a part b video pdf |
questions | solutions |
7.4: Partial fraction decomposition | blank | completed | part a part b part c video pdf |
questions | solutions |
7.8: Improper Integrals | blank | completed |
part a part b part c part d video pdf |
questions | solutions |
11.1: Sequences | blank | completed |
part a part b part c part d video pdf |
questions | solutions |
11.2: Series Series Chart |
blank | completed |
part a part b part c part d video pdf |
questions | AP #1, AP #2, AP#3 , AP#4 |
11.3: The Integral Test and Estimates of Sums | blank | completed |
part a part b video pdf |
questions | AP #1, AP #2, AP#3 |
Exam 3 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
11.4: The Comparison Tests Series Chart |
blank | completed | part a part b part c video pdf |
questions | AP #1, AP #2, AP #3, AP #4 , AP #5, AP #6 |
11.5: Alternating Series | blank | completed | part a part b part c video pdf |
questions | AP #1, AP #2, AP #3 |
11.6: Absolute Convergence and the Ratio and Root Tests In the second example of the part C video (at 9:36), I should have said the series is absolute convergent. |
blank | completed | part a part b part c video pdf |
questions | AP #1, AP#2 , AP#3, AP#4 , AP#5 , AP#6 |
11.8: Power Series | blank | completed | part a part b part c video pdf |
questions | AP #1, AP#2 , AP#3, AP#4 , AP#5 , AP#6 |
11.9: Representations of Functions as a Power Series. "Cool" Series problem |
blank | completed | part a part b part c part d part e video pdf |
questions | AP #1, AP#2 , AP#3 , AP#4, AP#5 , AP#6 |
11.10: Taylor and Maclaurin Series | blank | completed | part a part b part c part d part e part f video pdf |
questions | AP #1, AP#2 , AP#3, AP#4 , AP#5 |
11.11: Applications of Taylor Polynomials | blank | completed | video video pdf |
questions | AP #1, AP#2 |
Additional Final Exam Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
10.1: Curves Defined by Parametric Equations |
blank | completed |
video video pdf |
questions | AP #1 , AP #2 , AP #3 , |
10.2: Calculus with Parametric Functions | blank | completed |
part a part b video pdf |
questions | AP #1 , AP #2 , AP #3 , AP #4 , AP #5 , AP #6 , AP #7 |
10.3: Polar Coordinates | blank | complete |
part a part b part c video pdf |
questions | AP #1 , AP #2 , AP #3 , |
10.4: Areas and Lengths in Polar | blank | completed |
part a part b video pdf |
questions | AP #1 , AP #2 |