Math 146, Spring 2017


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.

Announcements


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 #ExercisesDue Date
#17.1: 45, 55, 60
7.2: 62, 63, 72
7.3: 8, 14
7.5: 38, 42
February 1, 2017
#27.7: 2, 3, 4, 14, 41, 46, 48, 51, 56, 60February 8, 2017
#36.3: 16, 23, 40, 45, 50
6.4: 16, 22, 50
Chapter Review Exercises: 22, 27
February 15, 2017
#47.8: 6, 8, 25
7.9: 1, 13
February 21, 2017
#5Sec. 8.1: 26, 31, 36, 37
Sec. 11.1: 6, 7, 10, 21, 26, 31, 39, 56, 62
March 1, 2017
#6Sec. 11.2: 7, 10 ,16, 32
Sec. 11.3: 30, 31, 32, 41
Sec. 11.4: 10, 32
March 8, 2017
#7Sec. 12.1: 6, 10, 14, 23, 32, 36, 37, 40, 48, 57March 15, 2017
#8Sec. 10.1: 36, 40, 46, 58, 62, 64, 69, 74, 76, 84April 5, 2017
#9Sec. 10.2: 26, 32, 36, 43, 46
Sec. 10.3: 10, 12, 25, 50, 58
April 12, 2017
#10Sec. 10.4: 26, 28, 37
Sec. 10.5: 44, 50, 62
Sec. 10.6: 10, 16, 25
Sec. 10.7: 6
April 19, 2017
#11Chapter Review Exercises, pp 575-577: 2, 42, 49, 51, 56, 68, 74, 83, 89, 102, 115, 117, 119April 26, 2017
#12Chapter Review Exercises, pp 510- 511: 2, 3, 5, 7, 9, 45 (the only real application).May 2, 2017

Lectures

Lecture #SubjectDate
#1-8Chapter 7: Techniques of Integration: by substitution, by parts, by partial fractions
Improper Integrals
January 17-31, 2017
#9Section 7.7 & 7.8: Improper Integrals and their applicationsFebruary 2, 2017
#10-12Applications of integration: area between curves, volumes, work and energy, probabilityFebruary 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. 
#14Review before the exam plus Arc Length and Surface Area, Sec 8.1February 21, 2017
#15In class Exam IFebruary 22, 2017
#16Introduction to Chapter 11 - Parametric Equations, polar coordinates, and conic sectionsFebruary 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 
#17Arc Length and Speed, Sec. 11.2February 28, 2017
#18Polar Coordinates, Sec. 11.3March 1, 2017
#19Area and Arc Length in Polar Coordinates, Sec. 11.4March 2, 2017
 Lab sessions on Friday and Monday: Polar coordinates & Conic Sections 
#20Vectors in the Plane, Sec. 12.1March 7, 2017
#21Vectors in Three Dimensions, Sec. 12.2March 8, 2017
#22Dot and Cross Products. Sec. 12.3 & 12.4March 9, 2017
 Lab Sessions on Friday and Monday: Practice Problems from Sections 12.1- 12.4 
#23, 24, 25The Cross Product and vPlanes in 3-SpaceMarch 13-15, 2017
 Spring BreakMarch 20-24, 2017
#26, 27, 28, 29SequencesMarch 28-31, 2017
#30, 31Introduction to Infinite SeriesApril 4,5 2017
#32Introduction to Infinite SeriesApril 6, 2017
#33, 34Infinite Series Convergence, Sections 10.1 - 10.3April 11,12, 2017
#35Professor Brian McClendon - Guest SpeakerApril 13, 2017
#36

Absolute and Conditional Convergence, Sec. 10. 4

  • The Ratio and Root Tests, Sec. 10.5
April 14, 2017
#37Power Series & Taylor Series, Sec. 10. 6 & 10.7April 18, 2017
#38Review Chapter 10April 19, 2017
#39Introduction to Differential EquationsApril 20, 2017
#40Review before the Exam IIIApril 25, 2017
#41In class Exam - it will cover the Chapter 10 : Infinite SeriesApril 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