Math 152

Engineering Mathematics II
Joe Kahlig

Lecture Notes


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