Math 145: Honors Calculus I

MATH 145: Covers differentiation and integration of algebraic and trigonometric functions, with applications to physical sciences and engineering. The course will be comprised of a series of "mini-units" focusing on fundamental calculus topics. Each mini-unit will involve a motivating exploration of one or more relevant, real-world problems, followed by a sequential development of the mathematical tools needed to solve them. Once this computational and theoretical framework is in place, the original problems will be revisited and related problems will be considered.

The course will be comprised of a series of "mini-units" focusing on fundamental topics of calculus and its applications:

1. Functions: Their Properties, Limits, and Continuity
2. Functions: Their Differentiability and Applications
3. Functions: Their Integrability and Applications
4. Calculus & Probability


  • 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 145 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: TR 9:00 - 9:50 a.m. and 11:00 - 11:30 a.m.


Lab Section: Peter Lewis, GTA
Email: plewis85@ku.edu

Office: 547 Snow
Office Hours: M 11:00 a.m. - 12:00 p.m. and F 1:00-2:00 p.m.

Announcements

    Important: Final Exam (for 100 points - 20%) on Monday, December 12 at 4:30 pm - 7:00 pm in 156 Snow Hall is optional (for those who want to improve their grades). It is comprehensive (it covers all materials from all 5 exams)

    Important Dates

    • August 28 (Friday) - Last day to add or change sections drop online and without permission of department.
    • September 7 (Monday) - Labor Day Holiday
    • September 14 (Monday) - Last day to drop a course without a W on transcript
    • September 21 (Monday) - Last day to add or change section even with departmental permission (permission is rarely given)
    • October 10 (Saturday) - October 13 (Tuesday) Fall break
    • November 18 (Wednesday) - Last day to withdraw from a course (can be done online)
    • November 25 (Wednesday) - November 29 (Sunday) Thanksgiving Break
    • December 10 (Thursday) Last day of classes


    Policies

    • Policy on Students with Disabilities - 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 Academic Misconduct - According to University Senate Rules and Regulations, Section 6, Academic Misconduct is: "2.6.1 Academic misconduct by a student shall include, but not be limited to, disruption of classes; threatening an instructor or fellow student in an academic setting; giving or receiving of unauthorized aid on examinations or in the preparation of notebooks, themes, reports or other assignments; knowingly misrepresenting the source of any academic work; unauthorized changing of grades; unauthorized use of University approvals or forging of signatures; falsification of research results; plagiarizing of another's work; violation of regulations or ethical codes for the treatment of human and animal subjects; or otherwise acting dishonestly in research."
    • Tutors - When a student works with a tutor, it is the responsibility of both the student and the tutor to ensure that it is the student who works to arrive at the solutions of the problems. Tutors should not do students' homework for them or provide them the solutions for their course assignments.
    • Commercial Note-Taking - Pursuant to the University of Kansas Policy on Commerical Note-Taking Ventures commercial note-taking is not permitted in Math 145. Lecture notes and course materials may be taken for personal use, for the purpose of mastering the course material, and may not be sold to any person or entity in any form. Any student engaged in or contributing to the commercial exchange of notes or course materials will be subject to discipline, including academic misconduct charges, in accordance with University policy. Please note: note-taking provided by a student volunteer for a student with a disability, as a reasonable accommodation under the ADA, is not the same as commercial note-taking and is not covered under this policy.
    • Policy on Intellectual Property - Course materials prepared by the instructor, together with the content of all lectures and review sessions presented by the instructor are the property of the instructor. Video and audio recording of lectures and review sessions without the consent of the instructor is prohibited. Permission to make such recordings may be granted by the instructor on a case by case basis, on the condition that these recordings are used only as a study aid by the individual making the recording. Unless explicit permission is obtained from the instructor, recordings of lectures and review sessions may not be modified and must not be transfered or transmitted to any other person, whether or not that individual is enrolled in the course.
    • Online Homework and Projects - Members of the class are encouraged to study together, but EACH must write out their own solutions to the assigned problems. Copying of another person's homework is not allowed. HOMEWORK IS A MAJOR PART OF THE LEARNING PROCESS IN MATHEMATICS, and it is essential that students work their own problems and do the homework on a regular basis.
    • Testing - There will be two (3) midterm exams and a final. The Final Exam will be comprehensive. Details of these exams will be announced in class. If you have a valid reason for missing an exam, you should discuss it with me ASSP.
    • Grades - It is expected that your final course grade will be awarded on a percentage basis with 90% and above an A; 80%-89% a B; 70%-79% a C; 60%-69% a D. Letter grades for all exams will only be for advisory purposes and are not official. In computation of your final online homework grade, you will be allowed to miss two homework assignments.
    • Religious Holidays - 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 at the beginning of the semester to discuss alternative accommodations.

Messages



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 145, 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 Chapter 2, Pages 83-84: 22, 34, 46, 58, 60, 76, 82
Extra Practice Problems: 84*, 86*, 88*
Read Chapter 2		 08/31/2016
#2 Page 108: 4
Pages 110-111: 18, 26, 32, 44, 50, 56, 57, 58, 64
09/07/2016
#3 Pages 111-112: 68, 72, 76, 79, 80
Pages 119-120: 22, 36, 44
Pages 132-133: 46, 64
9/14/2016
#4 Page 191: 56, 60, 66, 82, 86, 88, 90, 92, 104, 108
9/21/2016
#5 pp 186-187: 2, 4, 8, 13, 26, 32, 33
pp 191-192: 100, 115, 117
9/28/2016
#6 pp 207-208: 46, 48, 54, 58, 90
10/05/2016
No HW in the week of October 10-14 - Enjoy Fall Break!
#7 pp 256-258: 12, 21, 36, 40, 46, 56, 66, 69, 73, 74
10/26/2016
#8 Section 5.1 - pages 269 - 270: 10, 14, 28, 30, 40, 46, 48, 52, 54, 64
11/2/2016
#9 Section 5.2 : pages: 278 - 280: 20, 42, 44, 72
Section 5.3: pages: 287 - 288: 38, 50, 62, 64, 68, 72
Section 5.4: pages 293- 294: 24, 30, 36, 46, 56
11/9/2016
#10 Section 5.5: pages: 298 - 299: 16, 39, 40, 45
Section 5.6: page 304: 10, 14, 16
Section 5.7: pages: 311-312: 38, 50, 64, 66, 72, 91, 93, 95
11/16/2016
#11 Section 5.9: pages: 326-327: 21, 22, 29, 40, 43, 46
Section 6.1: Pages: 339-340: 32, 47, 52, 53
11/30/2016
#12 Section 7.1: Page 377: 10, 14, 16
Section 7.7: Page 422: 16, 32, 45, 46, 52
Section 7.8: Page 428: 2, 7, 8
12/07/2016

Lectures
Lecture # Subject Date
#1
  • Introduction to the course and its teaching/learning team
  • Introduction to WebAssign
  • Overview Course Content & Syllabus
  • Question/Answer Session
    		•  8/22/2016
    #2
  • Introduction to Limits of functions
    		•  8/23/2016
    #3
  • Introduction to Continuity of functions
    		•  8/24/2016
    #4
  • The Formal Epsilon-Delta Definition of a Limit
  • Read: Chapter 2
    		• 8/25/2016
    #5
  • Evaluating Limits of a wide variety of functions, Section 2.5 & 2.6
    		• 08/30/2016
    #6
  • Limits at Infinity and Vertical Asymptotes of functions, Section 2.7
  • Intermediate Value Theorem, Section 2.8
    		• 08/31/2016
    #7
  • The limit concept for sequences
  • Introduction to Differentiation: The limit definition of the derivative, Section 3.1
    		• 09/01/2016
    #8
  • Chapter 3: Continuity and Differentiability
  • Discussion on the last week In-Class Workshop
    		• 09/06/2016
    #9
  • Chapter 3: Rules for Differentiation
    		•  09/07/2016
    #10
  • Higher Order Derivatives: Why we need them?
  • Remark: A lot of practice and problem solving in lab sections on Friday and Monday. All students should be ready to take the Gateway Exam by next week.
    		• 09/08/2016
    #11
  • Guest Visitor: Dr. Brian McClendon
    		•  09/13/2016
    #12
  • Chapter 3- Implicit Differentiation
    		•  09/14/2016
    #13
  • Chapter 3: Tangent Lines
    		•  09/15/2016
    #14
  • Related Rates
    		• 09/20/2016
    #15
  • Review Chapter 3 and Introduction to Chapter 4: Monotonicity, Extrema, Asymptotes and Graph Sketching
    		• 09/21/2016
    #16
  • Chapter 4: Monotonicity, Extrema, Asymptotes and Graph Sketching, Continuation
    		• 09/22/2016
    #17
  • Review Session before the Exam I, Sections 2.1 through 3.10 and 4.2, 4.4, 4.5, 4.6
    		• 09/27/2016
    #18
  • Warm up - Practice Exam
    		• 09/28/2016
    #19
  • In class EXAM I ( 45 min - 5 problems plus one extra credit problem)
  • Exam I will focus on show your work (no calculators are allowed)
  • Topics:
    • Limits and Continuity
    • Continuity & Differentiability
    • Logarithmic & Implicit Differentiation, Tangent Lines
    • Related Rates
    • Monotonicity, Extrema, Asymptotes
    		 09/29/2016
    #20 Writing Project based on Collaborative and Interactive Discussion: “Why I care: My Story about my Passion for Enhancing the Quality of Life through Innovation”

    Students have free time, they are encouraged to discuss their ideas with the others, It is expected that students will write about their interests in and passions in helping humanity. Students are expected to demonstrate their curiosity and creativity in this story. The purpose of this outside of the classroom activity is to prepare students for thinking of what kind of skills and tools we need to have to work on real world applications of calculus.     		10/03/2016
    #21
  • Extreme Values - Optimizing a continuous function on a closed interval - Section 4.2
    		• 10/04/2016
    #22
  • The Mean Value Theorem and Monotonicity - Section 4.3
    		• 10/05/2016
    #23
  • The Shape of a Graph & Graph Sketching - Section 4.4 & 4.6
  • In Lab Sections on Friday and next Monday: Graph Sketching for Different Types of Functions.
    		• 10/06/2016
  • Enjoy Fall Break!
    		•  10/10/2016, 10/11/2016
    #24
  • Introduction to the Optimization Theory/ Control - Guest Speaker: Prof. Tyrone Duncan, a world’s scholar in Optimization and Control Theory
    		•  10/12/2016
    #25
  • Introduction to the Numerical Analysis: Newton’s Method - Guest Speaker: Prof. Agnieszka Miedlar, an international scholar in Numerical Analysis
    		•  10/13/2016
  • Lab Sections: Introduction to real world optimization problems and using Newton’s Method
    		• 10/14/2016, 10/17/2016
    #26
  • Detailed analysis of functions such as exponential, logarithmic, trigonometric, and rational.
    		•  10/18/2016
    #27
  • Real world optimization problems
    		•  10/19/2016
    #28
  • Review of the Chapter on Applications of Derivatives. Why we care? Discussion about derivatives.
    		•  10/20/2016
  • Lab Sessions: Review the assigned earlier problems on Newton’s Method. Challenging applications of derivatives.
    		•  10/21/2016, 10/24/2016
    #29
  • Real world optimization problem solution presented in a scholarly way
    		• 10/25/2016
    #30
  • Linear Approximation and Newton’ Method - revisiting
    		• 10/26/2016
    #31
  • Introduction to the Chapter 5 - Integrals
    		• 10/27/2016
  • Lab Session: Chapter 5 - Section 5.1
    		• 10/31/2016
    #32
  • Chapter 5 : The Integral, Sections 5.2, 5.3, 5.4
    		• 11/1/2016
    #33
  • Chapter 5 - Sections 5.5, 5.7 - Fundamental Calculus Theorem, Integration by substitution
  • Independent Studies: Sections 5.6 & 5.9
    		• 11/2/2016
    #34
  • Chapter 6: Applications of the Integral: Section 6.1: Area between two curves
  • ** Lab Sections on Friday and Monday: Inverse Trig Functions and Practice integration
    		•  11/3/2016
    #35
  • Chapter 7: Techniques of Integration: Integration by Parts; Section 7.1
    		• 11/8/2016
    #36
  • Chapter 7: Improper Integrals; Section 7.7
    		• 11/9/2016
    #37
  • Chapter 7: Probability & Integration, Section 7.8
  • ** Lab Sessions on Friday & Monday; Practice techniques of integration and applications of integrals
    		•  11/10/2016
    #38
  • More Applications of Integrals, Setting up integrals for volume, density, average
    		• 11/15/2016
    #39
  • Review before the Exam III: indefinite, definite and improper integrals
  • Integration by substitution and by parts
  • Applications: Area between two curves
    		• 11/16/2016
    #40
  • In class Exam III - See Announcements
  • Lab Section on Friday: Review the Exam III - Discussion
    		•  11/17/2016
    #41
  • Turn in Take home Part II of the Exam III
  • Discussion on How to prepare well Self Evaluation Form (it will be distributed in class)
    		• 11/21/2016
    No Class November 22, 23 and 24 and No Lab Session on November 25 due the Thanksgiving Break.
    Happy Thanksgiving to You, Your Families, and Friends!
    #42
  • Lab session: practice problems from sections 5.9 and 6.1 ( HW #11)
    		•  11/28/2016
    #43
  • Discussion on Exam III - Part II Self evaluation form to be filled in class
    		•  11/29/2016
    #44
  • Introduction to probability
    		•  11/30/2016
    #45
  • The expected value of a random variable
    		•  12/01/2016
    #46
  • Practice problems in preparation for HW # 12
    		•  12/02/2016
    #47 Lab Session - Good understanding of the following probability concepts:
    • probability mass function and probability density function
    • probability distribution function for discrete and for continuous type random variables
    • relation between probability density or mass function and probability distribution function
    • the expected value and its property for both discrete and continuous types random variables
    • variance and standard deviation of both types of random variables
    • find probabilities that random variable takes on values on a given interval
    • exponential and normal distributions as examples of a continuous type random variables
    Illustrative examples can be found in the section 7.8: 4, 6, 7, 8, 11, 15, 16, 17, 22, 25, 27, 28.     		12/05/2016
    #48
  • Lecture on Counting Probabilities with Professor Tyrone Duncan whose area of research is Probability Theory
  • 15 min Quiz (counted under “attendance, participation, projects & quizzes”) on some probability concepts listed in the lecture #47
    		• 12/06/2016
    #49
  • Applications of integrals: Volume, Sections 6.2 & 6.3, In class workshop (counted under extra credit up to 3 points)
    		• 12/07/2016
    #50
  • A Conversation on Reflections from the Classroom (one page typed essay) & Celebration of the end of the Semester!
    		•  12/08/2016