Spring 2023 - MATH 152 D200

Calculus II (3)

Class Number: 5377

Delivery Method: In Person

Overview

  • Course Times + Location:

    Mo, We, Fr 8:30 AM – 9:20 AM
    BLU 10011, Burnaby

  • Prerequisites:

    MATH 150 or 151, with a minimum grade of C-; or MATH 154 or 157 with a grade of at least B.

Description

CALENDAR DESCRIPTION:

Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations and growth models. Sequences and series, series tests, power series, convergence and applications of power series. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.

COURSE DETAILS:



MATH 152 D200 Prime - Special Lecture Series 

The Department of Mathematics is offering a section of MATH 152 Calculus II which is designed for students who have shown mastery of the concepts covered in Calculus I and and who are interested in lectures that present the ideas that go beyond the textbook basics. Many of these ideas show how the calculus naturally leads into many of the upper-division math courses. This special experience is designed for students whose plans include further math classes (MATH322, MACM316, MATH314 especially). Mathematics program majors and minors are especially encouraged to participate.

The Prime section (D200) will have classes at the same time as section D100, MWF 8:30am-9:20am, but will meet in a separate venue. All sections, D100, D200, D400, will cover the same course topics and will have the same midterms and final exam. The Prime section (D200) will have an alternate set of weekly assessments. 

Three of our MATH faculty chat about this special lecture series in this Zoom-recorded meeting from 2020 - login with your SFU credentials (your computing ID without the @sfu.ca and your password).

To participate in the Prime D200 lectures ...

1)  if you have a grade of A or better in Calculus I (MATH 150 or MATH 151) you request enrollment in D200 by emailing mathusec@sfu.ca with your advising transcript;

2)  if you are not eligible for direct enrollment to the Prime lectures based on the criteria above (including those having completed MATH 154 or MATH 157) you must:

a) register for MATH 152 D100 AND
b) submit this questionnaire to the Department of Mathematics by Wednesday, December 21, 2022.

Students in category 2 who are selected for these special lectures (Section D200) will be notified prior to the start of term.

It is expected that prime students will maintain the high standards throughout the semester. Students in difficulty may be transferred to D100 without penalty.



Chapter 5 - Integrals  

1. Areas and Distances  
2. The Definite Integral  
3. The Fundamental Theorem of Calculus  
4. Indefinite Integrals  
5. Substitution Rule    

Chapter 6 - Applications of Integration  
1. Areas between Curves  
2. Volumes  
3. Volumes by Cylindrical Shells (optional)
5. Average Value of a Function (optional)   

Chapter 7 - Techniques of Integration  
1. Integration by Parts  
2. Trigonometric Integrals  
3. Trigonometric Substitution  
4. Integration of Rational Functions by Partial Fractions  
5. Strategy for Integration
6. Integration Using Tables and Computer Algebra Systems  
7. Approximate Integration  
8. Improper Integrals    

Chapter 8 - Further Applications of Integration  
1. Arc Length  
2. Area of a Surface of Revolution  

Chapter 10 - Parametric Equations and Polar Coordinates  
2. Calculus with Parametric Curves     

Chapter 11 - Infinite Sequences and Series  
1. Sequences  
2. Series  
3. The Integral Test and Estimates of Sums  
4. The Comparison Tests  
5. Alternating Series  
6. Absolute Convergence and the Ratio and Root Tests  
7. Strategy for Testing Series  
8. Power Series  
9. Representations of Functions as Power Series  
10. Taylor and McLaurin Series  
11. Applications of Taylor Polynomials

Chapter 9 - Differential Equations  
1. Modeling with Differential Equations
2. Direction Fields
3. Separable Equations  
4. Models for Population Growth


Grading

  • Assignments 15%
  • Midterm 1 15%
  • Midterm 2 15%
  • Final Exam 50%
  • Online Assignments 5%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and t he posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).

Materials

REQUIRED READING:

Calculus: Early Transcendentals, 9th Edition
James Stewart
Multi-term Enhanced WebAssign & Electronic Textbook Access

*If you purchased multi-term WebAssign & Electronic Textbook Access for Calculus I in Fall 2022, you do NOT need to purchase this again!*

Students purchase a multi-term WebAssign license which includes access to the electronic version of the textbook and WebAssign assignments. WebAssign assignments are part of the marking scheme for the course.

Access to WebAssign and the Stewart 9th edition electronic textbook continues for the duration of departmental use of the 9th edition. WebAssign access purchased for MATH 150/MATH 151 in Fall 2022 is valid for use for MATH 152/MATH 251 if taken within the next 2-4 years. No further WebAssign purchase will be required.

Buying a hard copy of a previous edition of this textbook will not provide access to the current 9th Edition Stewart WebAssign problems.

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html