Tareas de calculo de 6to semestre

 Group 1: Monday 10:30, Tuesday 7:00, Wednesday 12:00   Room 208

 Group 2: Monday 12:00, Thursday 10:30,   Friday 10:30  Room 308

Group  3: Tuesday 8:30, Wednseday 8:30, Thursday  8:30  Room 408    

Wk

Ses

Date

Exposition

INN

CHE

1

1

JANUARY

01-11  

02-11    

03-12      

Module 1. Differentials

Topic:  Introduction to differentials.

X

ACTIVITIES IN CLASS:

• Welcome to course
• Explanation of topics and course policies
• Watch Khan academy video about differentials.

ASSIGNMENT DUE Session 2:  Buy handbook, and bring handbook to class

2

01-12  

02-14    

     03-13      

Module 1. Differentials

Topic:  Definition of differentials, linear approximation

X

ACTIVITIES IN CLASS:

Activity in handbook

ASSIGNMENT DUE Session 3:  HW #1

3

01-13  

02-15    

03-14      

Module 1. Differentials

Topic:  Applications of differentials.  

X

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE Session 4:   HW #2  and prepare for a quiz 1.

2

4

 01-18  

 02-18    

      03-19      

Module 1. Differentials

Topic: Approximating function values and error estimation

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE Session 5:  HW #3

5

01-19  

02-21    

      03-20      

Module 2. Antiderivative and definite integral

Topic: General antiderivative by inspection and initial conditions.

X

ACTIVITIES IN CLASS:

• Watch video Khan academy about antiderivative.
• Activity in handbook
• Quiz # 1

ASSIGNMENT DUE Session 6:   HW #4

6

    01-20  

   02-22    

       03-21       

Module 2. Antiderivative and definite integral

Topic: Definite integral

X

ACTIVITIES IN CLASS:

• Activity in handbook practicing on several functions the concept of the absolute value function

ASSIGNMENT DUE Session 7:  HW #5 and prepare for quiz 2

3

7

01-25  

02-25    

      03-26      

Module 2. Antiderivative and definite integral

Topic: Definite integral using rectangles

ACTIVITIES IN CLASS:

• Activity in handbook.

ASSIGNMENT DUE next session 8:  HW #6

8

01-26  

02-28    

     03-27    

Module 2. Antiderivative and definite integral

Topic: Definite integral using Riemann sums

ACTIVITIES IN CLASS:

• Activity in handbook
• . Quiz # 2

ASSIGNMENT DUE Session 9:  HW #7

9

01-27  

02-29  

     03-28      

Module 2. Antiderivative and definite integral

Topic: Definite integral using Riemann sums

X

ACTIVITIES IN CLASS:

• Review of trig identities
• Activity in handbook

ASSIGNMENT DUE Session 10:  HW # 8  and practice for quiz 3

4

No

Feb 1

CONSTITUTION DAY

10

FEBRUARY

01-02  

02-04    

      03-02    

Module 3. Indefinite integral

Topic: Basic integration rules. Power and constant

X

ACTIVITIES IN CLASS:

• Activity in handbook
• Quiz # 3

ASSIGNMENT DUE Session 11:  HW # 9

11

01-03  

02-05    

03-03      

Module 3. Indefinite integral

Topic: Basic integration rules.  Exponential and logarithmic

X

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE Session 12:  HW #10 and study for quiz 4

5

12

01-08  

02-08    

       03-04      

 Module 3. Indefinite integral

Topic: Basic integration rules.  Algebra

X

ACTIVITIES IN CLASS:

• Activity with wolfram Calculus

ASSIGNMENT DUE Session 13:  HW #11

13

01-09  

02-11    

      03-09      

Module 3. Indefinite integral

Topic: Basic integration rules.  Algebra

ACTIVITIES IN CLASS:

• Work in handbook
•  Quiz # 4

ASSIGNMENT DUE Session 13:  HW #11

14

02-12    

      03-11      

Topic: Review  first partial

X

ACTIVITIES IN CLASS:

Work in first partial review

ASSIGNMENT DUE next session:    REVIEW FOR 1st PARTIAL

    6

Ex

01-15  

02-15    

      03-15      

FIRST PARTIAL EXAM

15

01-10  

02-18    

      03-10      

Module 3. Indefinite integral

Topic: Basic integration rules.  Trigonometric

ACTIVITIES IN CLASS:

• Work in handbook

ASSIGNMENT DUE session 16:  HW #12

16

01-22  

02-19    

      03-18      

Module 3. Indefinite integral

Topic: Integrals with algebra, power   Change of variable

ACTIVITIES IN CLASS: 

• Work in handbook

ASSIGNMENT DUE session 17:  HW #13

7

17

01-23  

02-22    

      03-23      

Module 3. Indefinite integral

Topic: Integrals of logarithmic  change of variable

ACTIVITIES IN CLASS:

• Work in handbook

ASSIGNMENT DUE session 18:  HW #14

            Quiz # 5

18

01-24  

02-25    

      03-24      

Module 3. Indefinite integral

Topic: Integrals of Exponential functions with “u”  change of variable

X

ACTIVITIES IN CLASS:

• Work in handb

ASSIGNMENT DUE session 19:  HW #15

19

01-29

02-26    

      03-25      

Module 3. Indefinite integral

Topic: Integrals of trigonometric fuctons with change of variable,

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 20:  HW # 16

8

20

MARCH

01-01  

FEBRUARY

02-29    

      03-01      

Module 3. Indefinite integral

Topic: Integrals with  change of variable   practice

ACTIVITIES IN CLASS:

• Activity In handbook

ASSIGNMENT DUE session 21:  HW # 17  and prepare for a quiz 5.

21

MARCH

01-02

02-03    

      03-02      

Module 4. Integration techniques

TOPIC: Integrations by parts

X

ACTIVITIES IN CLASS:

• By teams solve the activity that involves all the different rules learned
• Quiz # 6

ASSIGNMENT DUE session 22:  HW #18

22

01-07  

02-04    

      03-03      

Module 4. Integration techniques

TOPIC: Integrations by parts

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session  23:  HW #19

23

01-08  

02-07    

      03-08      

Module 4. Indefinite integral

Topic: Integrals involving powers of sine and cosine

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 24:  HW #20  and study for quiz 6

9

 24

01-09  

02-10    

      03-09      

Module 3. Indefinite integral

Topic: Integrals involving powers of sine and cosine

ACTIVITIES IN CLASS:

• Work in handbook
• Quiz # 7

ASSIGNMENT DUE session 25:  :  HW #21

25

01-14  

02-11    

      03-10      

Module 3. Indefinite integral

Topic: Integrals involving powers of secant and tangent

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 26:  HW # 22

26

01-15  

02-14    

      03-15      

Module 3. Indefinite integral

Topic: Integrals involving powers of secant and tangent

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 27:  HW # 23  and study for quiz # 7

27

01-16  

02-17    

      03-16      

Module 4. Integration techniques

TOPIC: Integrations by Partial fractions

ACTIVITIES IN CLASS:

• Activity in handbook
• Quiz # 8

ASSIGNMENT DUE session 28:  HW # 24

12

MARCH

21-25

                        HOLY WEEK

13

28

01-28  

02-18    

      03-17      

Module 4. Integration techniques

TOPIC: Integrations by Partial fractions

X

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 29:  HW # 25  and study for quiz # 8

29

01-29  

02-28    

      03-29      

Module 5. Properties of Definite Integral and applications

TOPIC: Fundamental theorem of Calculus and Integrals with boundaries

ACTIVITIES IN CLASS:

• Activity in handbook
• Quiz # 9

ASSIGNMENT DUE session 30: HW # 26

30

      APRIL

 02-01    

      03-31

    Review  second partial

31

01-04  

02-04    

      03-04

     Second partial exam

32

01-30  

02-31    

      03-30      

Module 5. Properties of Definite Integral and applications

TOPIC: Area under one function

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 31:  HW # 27

15

31

01-11  

02-07    

      03-07      

Module 5. Properties of Definite Integral and applications

TOPIC: Area under one function

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 32:  

33

01-12  

02-08    

      03-12      

Module 5. Properties of Definite Integral and applications

TOPIC: Area between two functions

ACTIVITIES IN CLASS:

• Activity in handbook

ASSIGNMENT DUE session 25:  HW # 28   and study for quiz # 10

33

01-13  

02-11    

      03-13      

Module 5. Properties of Definite Integral and applications

TOPIC: Area between two functions

ACTIVITIES IN CLASS:

• Work in handbook
• Quiz # 10

ASSIGNMENT DUE session 25:  HW # 29

36

01-18  

02-14    

      03-14      

Module 5. Properties of Definite Integral and applications

TOPIC: Mean Value theorem

• Work in handbook

ASSIGNMENT DUE session 25:  HW # 30

37

01-19  

02-15    

      03-19      

Module 5. Properties of Definite Integral and applications

TOPIC: Arc length

ACTIVITIES IN CLASS:

• Work in handbook

ASSIGNMENT DUE session 25:  HW # 31

38

01-20  

02-18    

       03-20      

Module 5. Properties of Definite Integral and applications

TOPIC: Arc length

ACTIVITIES IN CLASS:

• Work in handbook

ASSIGNMENT DUE session 25:  HW # 32

39

01-25  

02-21    

      03-21      

Integration  change of limits

ACTIVITIES IN CLASS:

• Work in additional activities

ASSIGNMENT DUE session 25:  HW # 33

40

01-26  

02-22    

      03-26      

Integration change of limits

ACTIVITIES IN CLASS:

• Work in additional activities
• Quiz # 11

ASSIGNMENT DUE session 25:  HW # 34

41

01-27  

02-25    

      03-27      

Differential equations

ACTIVITIES IN CLASS:

• Work in additional activities

ASSIGNMENT DUE session 25:  HW # 35

42

01-02  

02-29    

      03-28      

Differential equations

ACTIVITIES IN CLASS:

• Work in additional activities
• Quiz # 12

43

01-03  

02-30    

      03-03      

Review

44

01-04  

02-02    

      03-04      

Review

May

Final Exam