Chemistry (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH110 | ||||
Course Name: | Calculus 2 | ||||
Semester: | Spring | ||||
Course Credits: |
|
||||
Language of instruction: | English | ||||
Course Condition: |
BENS101 - Calculus 1 | ENS101 - Calculus I | MATH109 - Calculus 1 |
||||
Does the Course Require Work Experience?: | No | ||||
Type of course: | Compulsory Courses | ||||
Course Level: |
|
||||
Mode of Delivery: | Face to face | ||||
Course Coordinator: | Prof. Dr. SELÇUK DEMİR | ||||
Course Lecturer(s): | Assist. Prof. Dr. FUNDA ÖZDEMIR | ||||
Course Assistants: |
Course Objectives: | To teach the improper integrals, sequences and series, differentiation, optimization and integration of functions of several variables, various coordinate systems and to gain the ability to use these concepts in solving engineering problems. |
Course Content: | Improper integrals, sequences and series, approximation of functions by series, functions of several variables, differentiation of functions of several variables, optimizing functions of several variables, integrating functions of several variables, integrals in Cartesian and polar coordinates. |
The students who have succeeded in this course;
1) Compute the integrals over unbounded regions. 2) Learn the notion of convergence of series and use various tests to determine series convergence; find Taylor representations of functions and approximate functions via Taylor polynomial. 3) Understand and use the concept of a function of several variables, draw graphs in 3 dimensional spaces. 4) Compute partial derivatives, directional derivatives and write equations of tangent planes to surface; apply partial derivatives to find and test local extrema. 5) Evaluate double integrals in Cartesian and polar coordinates and triple integrals in Cartesian coordinates. |
Week | Subject | Related Preparation |
1) | Improper integrals | |
2) | Sequences, infinite series | |
3) | The divergence and integral tests | |
4) | The ratio and alternating series tests | |
5) | Power series, Taylor series | |
6) | Vectors, dot product | |
7) | Cross product, planes and surfaces | |
8) | Midterm Exam | |
9) | Level curves, limits and continuity | |
10) | Partial derivatives, chain rule, directional derivatives, gradient, tangent planes | |
11) | Maximum/minimum problems | |
12) | Lagrange multipliers, double integrals over rectangular regions | |
13) | Double integrals over general regions or in polar coordinates | |
14) | Triple integrals |
Course Notes / Textbooks: | Thomas, G.B. et al., Thomas’ Calculus, Pearson |
References: | Calculus Early Transcendentals 2nd Edition (Global Edition), Briggs, Cochran & Gillett. |
Course Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Program Outcomes | |||||||||||
1) Knows the basic concepts related to the theory and applications of chemistry, uses theoretical and applied knowledge, can select, develop and design methods. | |||||||||||
2) Makes experimental planning and application for analysis, synthesis, separation and purification methods, provide solutions to the problems encountered and interpret the results. | |||||||||||
3) Expresses the basic principles of sample preparation techniques and instrumental analysis methods used in qualitative and quantitative analysis of items, discusses their application areas. | |||||||||||
4) Has knowledge about the sources, production, industrial applications and technologies of chemical substances. | |||||||||||
5) Makes structural analyzes of chemical substances and interprets the results. | |||||||||||
6) Work individually and in multidisciplinary groups, take responsibility, plan their tasks and use time effectively. | |||||||||||
7) Follows the information in the field and communicates with colleagues by using English at a professional level. | |||||||||||
8) Uses information and communication technologies along with computer software at the level required by the field. | |||||||||||
9) Follows the national and international chemistry literature, transfers the knowledge gained orally or in writing. | |||||||||||
10) Determines self-learning needs, manages/directs his/her learning. | |||||||||||
11) Takes responsibility and adheres to the ethical values required by these responsibilities. |
No Effect | 1 Lowest | 2 Average | 3 Highest |
Program Outcomes | Level of Contribution | |
1) | Knows the basic concepts related to the theory and applications of chemistry, uses theoretical and applied knowledge, can select, develop and design methods. | |
2) | Makes experimental planning and application for analysis, synthesis, separation and purification methods, provide solutions to the problems encountered and interpret the results. | |
3) | Expresses the basic principles of sample preparation techniques and instrumental analysis methods used in qualitative and quantitative analysis of items, discusses their application areas. | |
4) | Has knowledge about the sources, production, industrial applications and technologies of chemical substances. | |
5) | Makes structural analyzes of chemical substances and interprets the results. | |
6) | Work individually and in multidisciplinary groups, take responsibility, plan their tasks and use time effectively. | |
7) | Follows the information in the field and communicates with colleagues by using English at a professional level. | |
8) | Uses information and communication technologies along with computer software at the level required by the field. | |
9) | Follows the national and international chemistry literature, transfers the knowledge gained orally or in writing. | |
10) | Determines self-learning needs, manages/directs his/her learning. | |
11) | Takes responsibility and adheres to the ethical values required by these responsibilities. |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 1 | % 40 |
Final | 1 | % 60 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 40 | |
PERCENTAGE OF FINAL WORK | % 60 | |
total | % 100 |
Activities | Number of Activities | Preparation for the Activity | Spent for the Activity Itself | Completing the Activity Requirements | Workload | ||
Course Hours | 13 | 0 | 3 | 39 | |||
Application | 13 | 0 | 2 | 26 | |||
Study Hours Out of Class | 13 | 0 | 3 | 39 | |||
Midterms | 1 | 13 | 2 | 15 | |||
Final | 1 | 23 | 2 | 25 | |||
Total Workload | 144 |