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SBL BUM2123 Applied Calculus!
Introduction
Substitute Blended Learning is a style of education in which students learn via electronic and online media a part from traditional face-to-face teaching. For this subject, only Chapter 2 will be conducted in SBL format where learning materials, learning activities and assessment are conducted online. The SBL is scheduled on Week 5 & Week 6.
Students need to register an account at tagyard.com and enroll the selected course according to your section. Watch all videos made by the lecturers and read all additional materials (if any) that are shared in the course. Check in before you perform the tasks and you will be awarded with badges to indicate you have completed the tasks. No lecture on Monday & Tuesday.
You have to go through all materials online. All badges must be collected before you come for revision class on Thursday. Revision class is not a lecture! Ask questions related to the lessons on that particular week during the revision class on Thursday.
Study Plan
Generally, SBL is conducted fully online. You are required to have steady internet connection. The respective students can follow the study plan that the instructor has prepared in the course throughout the two (2) weeks. You can access all contents of SBL anytime and anywhere! Detail instruction will be given from one module to another to guide the student. The plan is provided so that the students get an idea how to study in SBL environment.
Table 1: Study plan of SBL BUM2123 Applied Calculus
Assessment Plan
Table 2: Assessment plan of SBL BUM2123 Applied Calculus
DISCLAIMER
This course is the intellectual property of UNIVERSITI MALAYSIA PAHANG, developed by Mathematics Lecturer from Centre for Mathematical Sciences. No plagiarism or duplication work is allowed unless authorized by UMP
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In this chapter we learn about functions whose values are vectors. We will discuss on how vector notation can be used to express parametric equations in 2D and 3D. We also learn how to differentiate and integrate vector functions. We will then apply these calculus tools to describe basic characteristics of curves as curvature and calculating arc length. Finally, this chapter discusses the concept of velocity and acceleration.
This chapter extends the methods of single-variable differential calculus to functions of two or more independent variables. We begin by introducing the basic concept of function of two or more variables and its relation to graph, then we will discuss the domain and range for those function. Next, the partial derivatives are defined, and we will use this knowledge to solve the chain rule problem and implicit partial differentiation. We end this chapter by discussing a technique to find extrema of function of two variables. We will find that a close analogue of the single-variable derivative to the multi-variables. Although many of the basic ideas for functions of single variable will carry over in a natural way, functions of several variables are more complicated than functions of single variable, so we need to pay attention on the technique presented in this chapter.
In this chapter we learn how to find the area of a region in polar coordinates and also in rectangular coordinates. We start finding the area in polar coordinates using single integration. Then we move to double integrals and learn their properties in rectangular and nonrectangular regions. Further, we can get the idea of triple integrals and how to find the solutions of problems related to triple integrals. This chapter also discuss on the applications of multiple integrals.
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Institution Email: ips.mooc@ump.edu.my