Math 116 - Calculus II

 

Instructor: Javid Validashti


Contact Information
E-mail: jvalidas at math dot ku dot edu
Office: Snow Hall 615
Office Hours: MWF 9:00-9:50, or by appointment on MWF at 11:00 or 2:00
Phone: (785) 864-4762
Website: www.math.ku.edu/~jvalidas

 


Course Information
Continuation of MATH 115 including exponential, logarithmic, and trigonometric functions, techniques of integration, and the calculus of functions of several variables.

Line # 75213, 08:00-09:50 MWF, 120 Snow
Line # 59399, 10:00-10:50 MWF, 301 Snow
Credit hours: 3
Text Book: Applied Calculus, Tan, Brooks/Cole, University of Kansas Edition.

 

Topics                            
Chapter 05: Review of 5.4 and 5.5 Exponential and Logarithm Function, 3hrs.
Chapter 12: Trigonometric Functions, Sections 1-3, 3hrs.
Chapter 06: Integration, Sections 1-7, 9hrs.
Chapter 12: Trigonometric Functions, Section 4, 1hr.
Chapter 07: Topics in Integration, Sections 1, 3, 4, 3hrs.
Chapter 08: Calculus of Several Variables, Sections 1-8, 12hrs.
Chapter 11: Taylor Polynomial Series, Sections 1-3, 3hrs.
Review and Class Exams, 9hrs.           
              

Prerequisite
MATH 115, plus a course in trigonometry, or Math 121. MATH 103 may be taken concurrently.

 


Exam I
Wednesday, February 18th, In Class
Based on Sections 5.1, 5.2, 5.4, 5.5, 12.1, 12.2, 12.3, 6.1 and 6.2

Exam II
Wednesday, April 8th, In Class
Based on Sections 6.2, 6.3, 6.4, 6.5, 6.6, 12.4, 7.1 and 7.3

Final Exam

Line # 75213, Meeting 08:00-09:50 MWF, 120 Snow:
Final Exam is on Wednesday, May 13th at 7:30 – 10:00 a.m. in class


Line # 59399, Meeting 10:00-10:50 MWF, 301 Snow:
Final Exam is on Friday, May 15th at 7:30 – 10:00 a.m. in class (You can also take it with the other class on May 13th)

Practice Problems  

 


Homework

Problems will be assigned every lecture and will be collected on Wednesdays.
No late homework will be accepted, but three missed assignments will be dropped automatically.

Staple your homework papers, otherwise they will not be graded.

Print your name, Date and section number clearly on top of the first page.

Every week, I will assign some extra credit problems.
You must show your work and express your methodology clearly for each problem.

I am more interested in your thinking, explanations, and the logical flow of your work, than your numerical correctness.

You are permitted, even encouraged, to work together on homework. When you do so, please acknowledge one another.

 

Each problem has 5 points:

 

– 1 point for stating the problem at the beginning.

– 2 points for correct reasoning leading to a correct solution.

– 2 points for clarity and neatness

 

 

Due Date

Reading

Problems

Monday, January 26th

Chapter 5.1

Chapter 5.2

P. 335 (P. 337 old) # 4.a, 12.a, 14.a, 19, 20, 30, 32.     

P. 345 (P. 346 old) # 12, 16, 21, 22, 32, 34, 36, 42.

EC. Solve the equation 2^(2x)-4(2^x)+4=0.

 

Monday, February 2nd

Chapter 5.4

Chapter 5.5

Chapter 12.1

P. 366 (P. 368 old) # 6, 10, 26, 32, 34, 36, 44 (42 old).

P. 376 (P. 379 old) # 8, 28, 34, 42, 44-47, 50.

P. 775 (P. 774 old) # 1, 2, 3, 4.

EC. Calculate the values of the basic trig. functions for π/6.

 

Monday, February 9th

Chapter 12.2

Chapter 12.3

P. 783 # 2, 8, 10, 16, 20, 28, 32, 33, 36, 37, 44-48.

P. 793 # 14, 19, 21-24, 27, 28, 30-34.

EC. Find the derivatives of sec x and csc x.

 

Monday, February 16th

 

Chapter 6.1

 

P. 404 (P. 407 old) #2, 4, 6, 8, 10, 18, 22, 24, 28, 32, 36, 38, 44, 50, 56, 58, 60, 98 (90 old), 100 (92 old).

 

Monday, March 2nd

Chapter 6.2

Chapter 6.3

 

P. 417 (P. 419 old) #2, 4, 12, 18, 26, 30, 32, 36, 38, 42, 48, 54.

P. 427 (P. 430 old) # 10, 14.

EC. Find an antiderivative of (x/(x+1))^2.

 

Monday, March 9th

Chapter 6.4

Chapter 6.5

 

P. 437 (P. 439 old) # 2, 4, 10, 14, 16, 18, 28, 32, 34, 38, 40.

P. 447 (P. 449 old) # 2, 8, 14, 16, 20, 22, 24, 28, 32, 36, 38, 65 (62 old), 68 (66 old), 70 (68 old), 74 (72 old).

EC. Find the area under the curve y=x on interval [0,1] using the limit of the Riemann Sum.

Monday, March 23rd

Chapter 6.6

Chapter 12.4

P. 458 (P. 461 old) # 2, 4, 6, 8, 16, 18, 26, 35-38, 40, 42, 54.

P. 803 # 4, 8, 12, 16, 22, 24, 28, 34, 36, 48, 50.

EC. Find antiderivatives of sec x and csc x.

 

Monday, March 30th

Chapter 7.1

P. 497 (P. 499 old) # 6, 10, 12, 14, 16, 18, 22, 24, 26, 28, 32, 34, 36, 42, 50 (48 old).

EC. Find the area of unit circle using a definite integral.

 

Monday, April 6th

Chapter 7.3

P. 518 (P. 520 old) # 4, 6, 10, 12, 20.

EC. Let y=f(x) be a parabola passing through the points (a, f(a)), (b, f(b)) and (c, f(c)), where b is the midpoint of a and c.

Prove that the definite integral of the parabola on the interval [a, c] is given by [f(a)+4f(b)+f(c)](c-a)/6.

 

Monday, April 20th

Chapter 7.4

Chapter 8.1

P. 528 (P. 531 old) # 2, 8, 10, 12, 14, 18, 28, 30, 34, 36, 42.

P. 542 (P. 544 old) # 2-8, 12-26, 39 (old 37), 43-46 (old 41-44).

EC. # 47, 49, 50 (old 48) on P. 528 (P. 531 old).

 

Monday, April 27th

Chapter 8.2

Chapter 8.3

P. 555 (P. 557 old) #2-40 Even Problems.

P. 567 (P. 570 old) # 2-24 Even Problems.

EC. Find the level curve of z=f(x, y)=xy/(x^2+y^2) for z=1/2.  Also P. 567 (P. 570 old) # 26, 28.

 

Monday, May 4th

Chapter 8.4

Chapter 8.5

P. 576 (P. 578 old) #2, 4, 6, 8 (Note: old version has a different table).

P. 590 (P. 594 old) # 2-18 Even Problems.

EC. # 20, 22, 27, 28 on P. 590 (P. 594 old).

 

 


Grading
Midterm Exam I: 250 points
Midterm Exam II: 250 points
Final Exam: 250 points
Homework: 250 points
Total: 1000 points

 

 

Take Your Professor to Lunch!

I strongly believe in making a personal connection with my students. I ask you to take the advantage of  ``Take your Professor to Lunch" program at KU, so that you may

talk to me about your progress in class and discuss your challenges with the material. I often find that when students come and talk to me, they become more motivated

and they make more effort in learning. Also, students who have educational relationships with faculty members outside the classroom are shown to be more successful

in their collegiate experiences.

 


Students with Disability

The KU Office of Disability Resources (DR) coordinates accommodations and services for all eligible students with disabilities. 

If you have a disability and wish to request accommodations and have not contacted DR, please do so as soon as possible. 

Their office is located in 22 Strong Hall; their phone number is 785-864-2620 (V/TTY).  Information about their services can be found at http://www.disability.ku.edu/. 

Please also contact me privately in regard to your needs in this course.

 


Policy on Religious Observances
Any student in this course who plans to observe a religious holiday which conflicts in any way with the course schedule or requirements should contact the instructor

as soon as possible to discuss alternative accommodations.

 

 

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