Calculus 3 - che221 PDF

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Syllabus and course description for 2nd year Calculus III for chemical engineers at U ofT...

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University of Toronto, Department of Chemical Engineering and Applied Chemistry CHE 221F: Calculus III Instructor Professor Arun Ramchandran WB368, Dept. of Chemical Engineering and Applied Chemistry. Email: [email protected] Office Hours Wednesdays, 6 p.m. to 7 p.m. or by prior appointment for other times. Lectures Monday: 1 p.m.-2 p.m., Tuesday: 2 p.m.- 3 p.m., Thursday: 1 p.m. to 2 p.m, all in BA1190. Tutorials Thursdays 9 a.m. - 11 a.m., GB244 and MY360. Each tutorial will discuss problems from a problem set provided in the previous week. Expected workload: About 8-9 hours per week (3 hours for lectures + 2 hours for tutorials + 3 to 4 hours of reading and practice, on an average). Teaching Assistants Tutorial TAs Syed Husainie ([email protected]) Shadan Mostafavi ([email protected]) TA for grading quizzes / term tests Sourojeet Chakraborty ([email protected]) Evaluation Scheme: Percentage Component 1 10 Tutorial Quiz 1 – Thursday, 26th September, 2019, 9 am to 10 am Term Exam 1 – Friday, 11th October, 2019, 6 pm to 8 pm 2 20 3 10 Tutorial Quiz 2 – Thursday, 31st October, 2019, 9 am to 10 am Term Exam 2 – Friday, 15th November, 2019, 6 pm to 8 pm 4 20 5 40 Final Required Text for Calculus Stewart, James; Multivariable Calculus 8th Edition, Thomson Brooks/Cole. A custom textbook is available with only the chapters that are required for this course. Consult the UofT bookstore. Optional Web-based Assignment/Practice software: An online software for calculus problems, called WebAssign, is also available for purchase at the bookstore. If you take the practice software, please let me know.

Topics Covered in this Course This course will introduce the basic concepts of multivariable calculus, including partial derivatives, gradients, multiple integrals and vector analysis, with an emphasis on practical design and modeling problems in chemical engineering. Chapters from the Text Multivariable Differential Calculus: Chapter 14 Multivariable Integral Calculus: Chapters 15 and 16 Ordinary Differential equations: Chapters 9 and 17 Specific learning outcomes: At the end of the course, you will be able to 1.

Sketch multidimensional surfaces and functions using contour and surface plots, and interpret data provided in these plots.

2.

Compute partial derivatives of multidimensional vector functions.

3.

Compute integrals, normals, tangents, and other properties of fields varying over surfaces/curves.

4.

Apply vector operations such as divergence, gradient and curl, and apply the Gauss divergence and Stokes theorems in situations frequently encountered in chemical engineering.

5.

Apply the chain rule of partial derivatives to problems in heat transfer, mass transfer, momentum transfer and thermodynamics.

6.

Approximate a function of multiple variables with a linear equation about a point.

7.

Calculate the propagation of error for a function of multiple variables.

8.

Interpret the various terms in the ‘stuff’ (transport) equation.

9.

Set up a constrained or unconstrained optimization problem in chemical engineering, and implement analytical methods for its solution.

10. Analytically integrate homogeneous and inhomogeneous linear ODEs of first and higher order, and some special non-linear ODEs, as applied to chemical engineering problems.

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