Math 146: Honors Calculus II

MATH 146: Covers integral calculus, sequences and series, and the basics of vectors with applications to physical sciences and engineering. The course will be comprised of a series of "mini-units" focusing on fundamental calculus topics and their applications.

  • There is a strict policy of NO LATE HW (or any other assignment) and NO MAKE-UP EXAMS.
  • Assignments should be submitted in original hard-copy form, or else as carefully scanned PDFs; photographs of HW will not be accepted.
Format of the Course and the Information about the Instructors

Math 146 is taught as a Lecture - Lab course. Students attend a lecture three times per week: T, W, R, and a laboratory section twice a week: M, F


Lecture: Professor Bozenna Pasik-Duncan
Email: bozenna@ku.edu

Office: 503 Snow Hall
Office Hours: W 9:00 - 10:30 a.m.


GTA: Yi Yan
Email: yiyan@ku.edu

Announcements

  • Final Exam - Tuesday 5/9 - 4:30 - 7:00 pm in 120 Snow Hall is comprehensive and will cover topics of all three Exams:
    • Exam I : see lectures 1 through 14,
    • Exam II : see lectures 16 through 25 ( Parametric Equations, Arc Length and Speed, Polar Coordinates, Area and Arc Length in Polar Coordinates, Vectors in the Plane, Vectors in Three Dimensions, Dot Product and the Angle Between Two Vectors, The Cross Product, Planes in 3- Space)
    • Exam III : see lectures 26 through 37
  • 5/2/2017:

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Resources


Homework Grading Policies and Expectations

  1. Weekly assignments of 10 problems will be collected at the beginning of class each Wednesday. No late HW will be accepted.
  2. The student's name and "Math 146, HW #..." need to be clearly stated on the front page of each submission.
  3. Each problem is worth up to 2 points (so each assignment is out of 20 points in total), with:
    • 0 points for no solution or totally wrong approach
    • 1 point for correct reasoning but the lack of details in justification or/and wrong calculation
    • 2 points for correct reasoning with detailed justification
    Remarks: The focus of this course is on good understanding of mathematical statistics concepts; therefore arithmetic mistakes in this course are negligible, but I require that they be clearly marked. Grading has to be done in such a way that a student will know clearly what was the reason for losing points. Different approaches to finding solutions are encouraged and promoted; therefore looking at posted online solutions while grading students' work is not recommended. I recommend looking at a student's full assignment and providing any general comments or recommendations such as "your presentation requires improvement or significant improvement" at the end of the assignment.
  4. I expect to receive a weekly report/feedback from the grader. In this report I expect to see:
    • the record of points, mean, median, the lowest and the largest value and the standard deviation
    • the list of problems that left students with their concerns; in other words, which problems I should revisit to address students' lack of understanding
  5. Graded assignments will be returned to students in class on the following Wednesday
  6. At the end of the semester I will expect to receive a cumulative distribution of points and percentages with the same distribution characteristics as for each individual assignment.
  7. Students are responsible for collecting their graded HW assignments and for keeping them in their course portfolio as important evidence of their contributions.

Homework Assignments

HW # Exercises Due Date
#1 7.1: 45, 55, 60
7.2: 62, 63, 72
7.3: 8, 14
7.5: 38, 42
02/01/2017
#2 7.7: 2, 3, 4, 14, 41, 46, 48, 51, 56, 60
02/08/2017
#3 6.3: 16, 23, 40, 45, 50
6.4: 16, 22, 50
Chapter Review Exercises: 22, 27
2/15/2017
#4 7.8: 6, 8, 25
7.9: 1, 13
2/21/2017
#5 Sec. 8.1: 26, 31, 36, 37
Sec. 11.1: 6, 7, 10, 21, 26, 31, 39, 56, 62
03/01/2017
#6 Sec. 11.2: 7, 10 ,16, 32
Sec. 11.3: 30, 31, 32, 41
Sec. 11.4: 10, 32
03/08/2017
#7 Sec. 12.1: 6, 10, 14, 23, 32, 36, 37, 40, 48, 57
03/15/2017
#8 Sec. 10.1: 36, 40, 46, 58, 62, 64, 69, 74, 76, 84
04/5/2017
#9 Sec. 10.2: 26, 32, 36, 43, 46
Sec. 10.3: 10, 12, 25, 50, 58
04/12/2017
#10 Sec. 10.4: 26, 28, 37
Sec. 10.5: 44, 50, 62
Sec. 10.6: 10, 16, 25
Sec. 10.7: 6
04/19/2017
#11 Chapter Review Exercises, pp 575-577: 2, 42, 49, 51, 56, 68, 74, 83, 89, 102, 115, 117, 119
04/26/2017
#12 Chapter Review Exercises, pp 510- 511: 2, 3, 5, 7, 9, 45 (the only real application).
05/02/2017

Lectures

Lecture # Subject Date
#1-8
  • Chapter 7: Techniques of Integration: by substitution, by parts, by partial fractions
  • Improper Integrals
  • January 17-31, 2017
    #9
  • Section 7.7 & 7.8: Improper Integrals and their applications
  • February 2, 2017
    #10-12
  • Applications of integration: area between curves, volumes, work and energy, probability
  • February 7-9, 2017
  • Lab sessions Feb. 10 and 13: Practice Exercises and Problems from Chapter 6 & 7
  • #11-13
  • Applications of integrals (cont), Sec. 6.4, 6.5, 7.8
  • Numerical integration, Sec. 7.9
  • Arc Length and Surface Area, Sec. 8.1
  • February 14-16, 2017
  • Lab sessions on Friday and Monday practice for the Exam I and Numerical Approximations.
  • #14
  • Review before the exam plus Arc Length and Surface Area, Sec 8.1
  • February 21, 2017
    #15
  • In class Exam I
  • February 22, 2017
    #16
  • Introduction to Chapter 11 - Parametric Equations, polar coordinates, and conic sections
  • February 23, 2017
  • Lab sessions on Friday and Monday : Arc Length and Surface Area, Sec. 8.1 Parametric Equations & Tangent Lines to Parametric Curves, Sec. 11.1
  • #17
  • Arc Length and Speed, Sec. 11.2
  • February 28, 2017
    #18
  • Polar Coordinates, Sec. 11.3
  • March 1, 2017
    #19
  • Area and Arc Length in Polar Coordinates, Sec. 11.4
  • March 2, 2017
  • Lab sessions on Friday and Monday: Polar coordinates & Conic Sections
  • #20
  • Vectors in the Plane, Sec. 12.1
  • March 7, 2017
    #21
  • Vectors in Three Dimensions, Sec. 12.2
  • March 8, 2017
    #22
  • Dot and Cross Products. Sec. 12.3 & 12.4
  • March 9, 2017
  • Lab Sessions on Friday and Monday: Practice Problems from Sections 12.1- 12.4
  • #23, 24, 25
  • The Cross Product and vPlanes in 3-Space
  • March 13-15, 2017
  • Spring Break
  • March 20-24, 2017
    #26, 27, 28, 29
  • Sequences
  • March 28-31, 2017
    #30, 31
  • Introduction to Infinite Series
  • April 4,5 2017
    #32
  • Introduction to Infinite Series
  • April 6, 2017
    #33, 34
  • Infinite Series Convergence, Sections 10.1 - 10.3
  • April 11,12, 2017
    #35
  • Professor Brian McClendon - Guest Speaker
  • April 13, 2017
    #36
  • Absolute and Conditional Convergence, Sec. 10. 4
  • The Ratio and Root Tests, Sec. 10.5
  • April 14, 2017
    #37
  • Power Series & Taylor Series, Sec. 10. 6 & 10.7
  • April 18, 2017
    #38
  • Review Chapter 10
  • April 19, 2017
    #39
  • Introduction to Differential Equations
  • April 20, 2017
    #40
  • Review before the Exam III
  • April 25, 2017
    #41
  • In class Exam - it will cover the Chapter 10 : Infinite Series
  • April 26, 2017
    #42, 43, 44
  • Introduction to Differential Equations and Multivariable Calculus
  • Applications of Calculus II
  • May 2 - Deadline for submitting the Self Evaluation Form
  • April 27, 2017 - May 4, 2017