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Maths
GYMAT201-MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 2
GYMAT201-MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 2
Curriculum
4 Sections
36 Lessons
5 Weeks
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MODULE 1- PARTIAL DERIVATIVES
9
1.1
LESSON 1 – LIMIT OF FUNCTIONS
25 Minutes
1.2
LESSON 2 – CONTINUITY OF FUNCTIONS
40 Minutes
1.3
LESSON 3- PARTIAL DERIVATIVES
60 Minutes
1.4
LESSON 4 – SLOPE AND RATE OF CHANGE
30 Minutes
1.5
LESSON 5 – HIGHER ORDER PARTIAL DERIVATIVES
60 Minutes
1.6
LESSON 6 – LOCAL LINEAR APPROXIMATION
40 Minutes
1.7
LESSON 7 – CHAIN RULE
30 Minutes
1.8
LESSON 8 – IMPLICIT DIFFERENTIATION
30 Minutes
1.9
LESSON 9 – MAXIMA AND MINIMA
40 Minutes
MODULE 2-MULTIPLE INTEGRALS
9
2.1
LESSON 1-DOUBLE INTEGRALS
40 Minutes
2.2
LESSON 2 -REVERSING THE ORDER OF INTEGRATION IN DOUBLE INTEGRALS
30 Minutes
2.3
LESSON 3 – CHANGE OF COORDINATES IN DOUBLE INTEGRAL-(CARTESIAN TO POLAR)
30 Minutes
2.4
LESSON 4 – EVALUATING AREA USING DOUBLE INTEGRALS
30 Minutes
2.5
LESSON 5 – FINDING VOLUME BY DOUBLE INTEGRALS
30 Minutes
2.6
LESSON 6 – TRIPLE INTEGRALS
30 Minutes
2.7
LESSON 7 – VOLUME CALCULATED AS TRIPLE INTEGRALS
30 Minutes
2.8
LESSON 8 – TRIPLE INTEGRALS IN CARTESIAN AND CYLINDRICAL COORDINATES
30 Minutes
2.9
LESSON 9 -TRIPLE INTEGRALS -MORE PROBLEMS
50 Minutes
MODULE 3 - VECTOR CALCULUS
9
3.1
LESSON 1 – CALCULUS OF VECTOR FUNCTIONS
25 Minutes
3.2
LESSON 2- DERIVATIVES OF VECTOR FUNCTIONS
25 Minutes
3.3
LESSON 3 – GRADIENT
50 Minutes
3.4
LESSON 4 – DIRECTIONAL DERIVATIVE
50 Minutes
3.5
LESSON 5 – DIVERGENCE AND CURL
50 Minutes
3.6
LESSON 6 – LINE INTEGRALS – TYPE 1
30 Minutes
3.7
LESSON 7 – LINE INTEGRALS TYPE II
30 Minutes
3.8
LESSON 8 – WORK DONE AS LINE INTEGRAL
40 Minutes
3.9
LESSON 9 – CONSERVATIVE VECTOR FIELD AND POTENTIAL FUCTION
40 Minutes
MODULE 4 -VECTOR INTEGRAL THEOREMS
9
4.1
LESSON 1 – GREEN’S THEOREM
40 Minutes
4.2
LESSON 2 – WORK DONE BY GREEN’S THEOREM
30 Minutes
4.3
LESSON 3 – AREA BY GREEN’S THEOREM
25 Minutes
4.4
LESSON 4 – SURFACE INTEGRALS
30 Minutes
4.5
LESSON 5 – SURFACE INTEGRALS- MORE PROBLEMS
20 Minutes
4.6
LESSON 6 – DIVERGENCE THEOREM
25 Minutes
4.7
LESSON 7 – DIVERGENCE THEOREM – MORE PROBLEMS
20 Minutes
4.8
LESSON 8 – STOKE’S THEOREM
25 Minutes
4.9
LESSON 9 – STOKE’S THEOREM – MORE PROBLEMS
20 Minutes
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