Calculus III: Multivariable Calculus
The main topic of this course is differentiation of functions of several variables and their applications. Vectors and the equations of lines, planes and quadratics surfaces will be discussed as well as double integrals and their applications.
- Equations of lines and planes
- Unit Tangent and Principal normal vector of a 3D curve (Arclength)
- Limits of functions of several variables at a point (Continuity)
- Partial derivatives of functions of several variables
- Gradient of a function (Directional derivatives)
- Tangent plane of a surface at a given point
- Local and global extrema of functions of several variables
- Lagrange multipliers
- Double and Triple integrals
- Perform vector operations and interpret them geometrically for a plane and 3D vectors
- Given geometric constraints find the equations of lines and planes
- Calculate the arclength while finding the tangent and normal vector of a 3D curve given parametrically
- Find the limit of a function of several variables at a point and analyze its continuity
- Find and interpret the mean of the partial derivative of a given function of several variables
- Find the gradient of a function and apply it to calculate directional derivatives
- Write the equation of a tangent plane of a surface at a given point
- Check differentiability of a function of several variables and apply differentials for approximations
- Find critical points of a function of several variables and test them for the local extrema and saddle points
- Use Lagrange multipliers to solve optimization problems involving constraints
- Calculate double integrals using Fubini’s theorem
Transferring UC San Diego Division of Extended Studies Credit
Many UC San Diego Division of Extended Studies may qualify for college credit to UC San Diego or other colleges or universities. The transfer of credit is determined solely by the receiving institution. Please discuss how your individual courses will transfer with the registrar's office at the receiving institution before you enroll.
Course Typically Offered: Online during Spring and Summer quarters.
Live discussion sessions will be held once a week. Attendance in these sessions is optional and the sessions will be recorded for students to view later. Exams will be given online during a set date and time.
Prerequisites: Calculus II or knowledge in differentiation and Integration of functions of one variable, Trigonometry, or equivalent knowledge.
More Information: For more information about this course contact email@example.com.
Course Number: MATH-40025
Credit: 4.00 unit(s)
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4/4/2023 - 6/13/2023
This course is entirely web-based and to be completed asynchronously between the published course start and end dates. Synchronous attendance is NOT required.
You will have access to your online course on the published start date OR 1 business day after your enrollment is confirmed if you enroll on or after the published start date.
Bosko Celic is a dynamic mathematician and industrial engineer with infectious enthusiasm and passion for education, offering hands-on experience in teaching college Algebra, Geometry, Precalculus, Trigonometry, and Calculus. Bosko Celic holds two Master's degrees in Mathematics from California State University San Marcos (CSUSM) and in Industrial Engineering from the University of Novi Sad (Serbia). He teaches algebra, precalculus and calculus at CSUSM and University of Maryland Global Campus (UMGC) where he consistently demonstrates competency in lesson-planning expertise, growth mindset, inclusive and interactive classroom, student-centered learning, as well as critical thinking and problem-solving.
Bosko previously worked in education management as a ...Read More
No information available at this time.
No refunds after: 4/10/2023.
4/4/2023 - 6/13/2023
You will have access to your course materials on the published start date OR 1 business day after your enrollment is confirmed if you enroll on or after the published start date.
There are no sections of this course currently scheduled. Please contact the Science & Technology department at 858-534-3229 or firstname.lastname@example.org for information about when this course will be offered again.