Matematikë II

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Sofokli Garo, PhD

Code
EMS 118
Name
Mathematics II
Semester
2
Lecture hours
3.00
Seminar hours
1.00
Laborator hours
0.00
Credits
3.50
ECTS
5.00
Description

Matematika 2 eshte vazhdim I kursit Matematika 1 te zhvilluar ne sem pare. Ne kete kurs jepen njohurite dhe konceptat qe lidhen me intregrimin, perdorimet e tij dhe serite.

Objectives

Matematika 2 eshte vazhdim I kursit Matematika 1 te zhvilluar ne sem pare. Ne kete kurs jepen njohurite dhe konceptat qe lidhen me intregrimin, perdorimet e tij dhe serite.

Java
Tema
1
5.1 An Overview of the Area Problem 316 5.2 The Indefinite Integral 322
2
5.3 Integration by Substitution 332 5.4 The Definition of Area as a Limit; Sigma Notation 340
3
5.5 The Definite Integral 353 5.6 The Fundamental Theorem of Calculus 362
4
5.7 Rectilinear Motion Revisited Using Integration 376 5.8 Average Value of a Function and its Applications 385
5
5.9 Evaluating Definite Integrals by Substitution 390 5.10 Logarithmic and Other Functions Defined by Integrals 396
6
6.1 Area Between Two Curves 413 6.2 Volumes by Slicing; Disks and Washers 421
7
6.3 Volumes by Cylindrical Shells 432 6.4 Length of a Plane Curve 438
8
MIDTERM
9
6.5 Area of a Surface of Revolution 444 6.6 Work 449 6.7 Moments, Centers of Gravity, and Centroids 458
10
9.1 Sequences 596 9.2 Monotone Sequences 607
11
9.3 Infinite Series 614 9.4 Convergence Tests 623
12
9.5 The Comparison, Ratio, and Root Tests 631 9.6 Alternating Series; Absolute and Conditional Convergence 638
13
9.7 Maclaurin and Taylor Polynomials 648 9.8 Maclaurin and Taylor Series; Power Series 659
14
9.9 Convergence of Taylor Series 668 9.10 Differentiating and Integrating Power Series
15
REVIEW
16
Final Exam
1
At the end of the text you will find a set of four appendices covering various topics such as a detailed review of trigonometry and graphing techniques using technology. Inside the front and back covers of the text you will find endpapers that contain useful formulas.
Quantity Percentage Total percent
Midterms
1 30% 30%
Quizzes
0 0% 0%
Projects
0 0% 0%
Term projects
0 0% 0%
Laboratories
0 0% 0%
Class participation
1 20% 20%
Total term evaluation percent
50%
Final exam percent
50%
Total percent
100%
Quantity Duration (hours) Total (hours)
Course duration (including exam weeks)
16 4 64
Off class study hours
14 4 56
Duties
0 0 0
Midterms
1 0 0
Final exam
1 0 0
Other
0 0 0
Total workLoad
120
Total workload / 25 (hours)
4.80
ECTS
5.00