Unit Profiles ›› MATH13217 Advanced Calculus
MATH13217  Advanced Calculus
Term 1  2017
Prescribed Textbooks

IT Resources
You will need access to the following IT resources: CQUniversity Student Email
 Internet
 Unit Website (Moodle)
Unit Coordinator  Yucang Wang (y.wang2@cqu.edu.au) 

Week  Begin Date  Module/Topic  Chapter  Events and Submissions 

Week 1  06032017 
Three Dimensional Coordinate Systems, Vectors, The Dot and Cross Product, Equations of Lines and Planes, Functions and Surfaces, Cylindrical and Spherical Coordinates 
All of Chapter 9 

Week 2  13032017 
Vector Functions and Space Curves, Derivatives and Integrals of Vector Functions, Arc Length and Curvature, Motion in Space 
Sections 10.1 to 10.4 

Week 3  20032017 
Parametric Surfaces, Functions of Several Variables, Limits and Continuity, Partial Derivatives, Tangent Planes and Linear Approximations 
Section 10.5 plus Sections 11.1 to 11.4 (part) 

Week 4  27032017 
Differentials, The Chain Rule and Implicit Differentiation, Directional Derivatives and the Gradient Vector 
Sections 11.4 to 11.6 

Week 5  03042017 
Maximum and Minimum Values, Lagrange Multipliers 
Sections 11.7 & 11.8 

Vacation Week  10042017  
Week 6  17042017 
Double Integrals over Rectangles and General Regions, Double Iterated Integrals, Double Integrals in Polar Coordinates 
Sections 12.1 to 12.4 
Assignment 1 Due Friday (21 Apr 17) 05:00 PM AEST 
Week 7  24042017 
Applications of Double Integrals, Surface Area 
Sections 12.5 & 12.6 

Week 8  01052017 
Triple Integrals and Triple Integrals in Cylindrical and Spherical Coordinates 
Sections 12.7 & 12.8 

Week 9  08052017 
Change of Variables in Multiple Integrals, Vector Fields, Line Integrals 
Section 12.9 plus Sections 13.1 & 13.2 

Week 10  15052017 
The Fundamental Theorem for Line Integrals, Green's Theorem 
Sections 13.3 & 13.4 
Assignment 2 Due Friday (19 May 17) 05:00 PM AEST 
Week 11  22052017 
Curl and Divergence, Surface Integrals 
Sections 13.5 & 13.6 

Week 12  29052017 
Stoke's Theorem, The Divergence Theorem, Summary 
Sections 13.7 to 13.9 

Review/Exam Week  05062017  
Exam Week  12062017  Written Assessment Due Friday (16 Jun 17) 11:00 PM AEST 
1 Written Assessment
Assessment Title  Assignment 1 

Task Description Submit full worked solutions to exercises selected from the Stewart Textbook. The exercises cover topics from Weeks 1 to 5 of the course. The selected exercises and other details are given on the Moodle website. 

Assessment Due Date  Week 6 Friday (21Apr2017) 05:00 PM AEST Submit by 5pm on Friday of Week 6 
Return Date to Students  Week 8 Friday (05May2017) Results will be available to students approximately two weeks after the submission date. 
Weighting  25% 
Assessment Criteria Full details about assignment 1 are available on the Moodle website. 

Referencing Style  Harvard (authordate) 
Submission 
Online
Assignment 1 must be submitted online through the MATH13217 Moodle website. 
Learning Outcomes Assessed 
This section can be expanded to view the assessed learning outcomes
1. Solve geometric problems in three dimensional space using vectors and their operators. 2. Calculate derivatives and integrals of vector functions to solve problems involving arc length and curvature of space curves. 3. Apply the concept of the limit, continuity and partial derivative of a function of many variables as well as calculate tangent planes, linear approximations and differentials. 4. Apply the chain rule, directional derivatives and the gradient vector to solve problems, particularly multivariable optimisation problems either with or without constraints. 9. Use mathematical software to visualise, analyse and solve problems in multivariable calculus. 
Graduate Attributes 
This section can be expanded to view the assessed graduate attributes
1. Communication 2. Problem Solving 3. Critical Thinking 4. Information Literacy 6. Information Technology Competence 8. Ethical practice 
2 Written Assessment
Assessment Title  Assignment 2 

Task Description Submit full worked solutions to exercises selected from the Stewart Textbook. The exercises cover topics from Weeks 6 to 9 of the course. The selected exercises and other details are given on the Moodle website. 

Assessment Due Date  Week 10 Friday (19May2017) 05:00 PM AEST Submit by 5pm on Friday of Week 10 
Return Date to Students  Week 12 Friday (02Jun2017) Results will be available to students approximately two weeks after the submission date. 
Weighting  25% 
Assessment Criteria Full details about assignment 2 are available on the Moodle website. 

Referencing Style  Harvard (authordate) 
Submission 
Online
Assignment 2 must be submitted online through the MATH13217 Moodle website. 
Learning Outcomes Assessed 
This section can be expanded to view the assessed learning outcomes
5. Calculate double & triple integrals over general regions, and also in polar, cylindrical and spherical coordinates. 6. Apply the change of variables technique to simplify the evaluation of a double or triple integral. 9. Use mathematical software to visualise, analyse and solve problems in multivariable calculus. 
Graduate Attributes 
This section can be expanded to view the assessed graduate attributes
1. Communication 2. Problem Solving 3. Critical Thinking 4. Information Literacy 6. Information Technology Competence 8. Ethical practice 
3 Written Assessment
Assessment Title  Written Assessment 

Task Description The take home exam will be available in the Moodle course website on Friday, 5 May 2017 at 9:00 am. You have to answer all questions showing full working. Submit your answers handwritten or typed or combination online in pdf, doc, docx or rtf format. 

Assessment Due Date  Exam Week Friday (16Jun2017) 11:00 PM AEST Submit by 11pm on Friday of Exam Week 
Return Date to Students  The take home exam papers will be returned to the students after the certification date. 
Weighting  50% 
Assessment Criteria Marks will be allocated on working, presentation, and conclusions. 

Referencing Style  Harvard (authordate) 
Submission 
Online
Submit online in pdf, doc, docx or rtf format with a total size less than 50 MB 
Learning Outcomes Assessed 
This section can be expanded to view the assessed learning outcomes
1. Solve geometric problems in three dimensional space using vectors and their operators. 2. Calculate derivatives and integrals of vector functions to solve problems involving arc length and curvature of space curves. 3. Apply the concept of the limit, continuity and partial derivative of a function of many variables as well as calculate tangent planes, linear approximations and differentials. 4. Apply the chain rule, directional derivatives and the gradient vector to solve problems, particularly multivariable optimisation problems either with or without constraints. 5. Calculate double & triple integrals over general regions, and also in polar, cylindrical and spherical coordinates. 6. Apply the change of variables technique to simplify the evaluation of a double or triple integral. 7. Evaluate line integrals both in space and of vector fields, plus solve problems involving the curl and divergence of a vector field. 8. Calculate the surface integral of a scalar function or of a vector field, plus use Green’s theorem, Stokes’ Theorem and the Divergence Theorem to solve problems. 9. Use mathematical software to visualise, analyse and solve problems in multivariable calculus. 
Graduate Attributes 
This section can be expanded to view the assessed graduate attributes
1. Communication 2. Problem Solving 3. Critical Thinking 4. Information Literacy 6. Information Technology Competence 8. Ethical practice 
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