Multivariable Calculus
Multivariable Calculus Online High School Course
COURSE LENGTH:
Half Year (15 Sessions)
Course Overview
The course is an advanced course on Multiple Variable Calculus
The course is a half course (there are 15 synchronous sessions)
The course will seek to cover 4 chapters. Each chapter has about 6 subsections for a total of 24 sub sections. There will need to be about 1-2 subsections read per class. (most are approximately 10 pages)
The course is in a semi-flipped style–having students learn and practice skills before synchronous session so we can spend the majority of session time on the understanding of the material and applications
Students will have two homeworks on Pearson MyLab per synchronous session. The first homework, to be done prior to the synchronous session, focuses on skills. The second homework, to be done following the synchronous session, focuses on applications and communication
Students will have assessments for each chapter. The assessments will test mastery of computation, communication, and applications
Students taking this course are expected to have a strong mathematical background and have taken the equivalent of BC Calculus. The class will push students to think critically about application problems and prior knowledge of differentiation, integration, maximization/minimization, parametric equations etc. of one variable problem is expected and required.
Materials:
Textbook
Calculus: Early Transcendentals,3rd edition
ISBN-13: 9780136880677
LEARNING OBJECTIVES:
What content does the course teach?
Vectors
Vector-Valued Functions
Dot Products and Cross Products
Directional Derivatives and Gradients
Tangent Planes
Differentiating and integrating function of several variables
Maximization and minimization
Lagrange Multipliers
Double integrals
Triple integrals
What specific essential skills does the course teach?
Multidimensional thinking
Higher level analysis of problems
What should students be able to do having completed the course?
Students will gain the problem solving and communication skills needed for various college level courses, such as Linear Algebra and Differential Equations
Students will be able to communicate their thought process and procedure for tackling difficult problems