Overview

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:

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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.

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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

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Grading

Materials

REQUIRED READING:

REQUIRED READING NOTES: