| Week |
Subject |
Related Preparation |
| 1) |
Functions and Their Graphs (domain and range, graph of a function, even functions and odd functions, symmetry, common functions), Combining Functions to Make New Functions (sums, differences, product and quotients, composite functions, shifting a graph of a function, scaling and reflecting), The Trigonometric Functions.
|
Textbook Chapter 1
|
| 2) |
Limit of A Function and Limit Laws (Limits of Function Values, The Limit Laws, the sandwich theorem), The Precise Definition of A Limit, One-Sided Limits, Limits Involving Infinity (finite limits involving infinity, infinite limits).
|
Textbook Chapter 2
|
| 3) |
Continuity (continuity at a point, continuous functions, intermediate value theorem, asymptotes of graphs), Tangent Lines (Derivative At A Point), Derivatives (differentiable on an interval, one-sided derivatives).
|
Textbook Chapter 2, Chapter 3
|
| 4) |
Differentiation Rules (powers, multiples, sums and differences, products and quotients, higher-order derivatives), Derivatives of Trigonometric Functions, The Chain Rule (derivative of a composite function).
|
Textbook Chapter 3
|
| 5) |
Implicit Differentiation. Linearization and Differentials.
|
Textbook Chapter 3
|
| 6) |
Inverse Functions and Their Derivatives, Natural Logarithms, Exponential Functions, Inverse Trigonometric Functions, Hyperbolic Functions. Indeterminate Forms and L'Hospital Rule.
|
Textbook Chapter 7
|
| 7) |
Extreme values of Functions on Closed Intervals (local extreme values, finding extrama). Rolle Theorem, The Mean Value Theorem.
|
Textbook Chapter 4
|
| 8) |
Midterm exam |
Textbook and lecture notes |
| 9) |
Monotonic Functions and The First Derivative Test (increasing functions and decreasing functions), Concavity and Curve Sketching (concavity, points of inflection, second derivative test for local extrema). Anti Derivatives (antiderivatives, initial value problems, indefinite integrals).
|
Textbook Chapter 4
|
| 10) |
Area and Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums, Rieman Sums, The Definite Integral, Area Under the Graph of a Nonnegative Function, Average Value of a Continuos Function.
|
Textbook Chapter 5
|
| 11) |
The Fundamental Theorem of Calculus, Indefinite Integrals and The Substitution Method, Definite Integral Substitutions. Area Between Curves.
|
Textbook Chapter 5
|
| 12) |
Using Basic Integration Formulas, Integration by Parts, Trigonometric Integrals, Trigonometric Substitutions.
|
Textbook Chapter 8
|
| 13) |
Using Basic Integration Formulas, Integration by Parts, Trigonometric Integrals, Trigonometric Substitutions.
|
Textbook Chapter 8
|
| 14) |
Integration of Rational Functions by Partial Fractions, Integral Tables.
|
Textbook Chapter 6
|
| 15) |
Review. Volumes Using Cross Sections, Volumes Using Cylindrical Shells, Arc Length, Areas of Surfaces of Revolution
|
Textbook Chapter 6
|
| 16) |
Final |
Textbook and Lecturer Notes |
| |
Program Outcomes |
Level of Contribution |
| 1) |
Competent knowledge of mathematics, science and technology, and computer engineering; ability to apply this knowledge to engineering solutions. |
5 |
| 2) |
Skills to design and conduct experiments, collect data, analyze and interpret results. |
5 |
| 3) |
Ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose. |
|
| 4) |
Ability to develop, select and use modern techniques and tools required for analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. |
|
| 5) |
Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. |
|
| 6) |
Ability to work effectively in intra-disciplinary and multi-disciplinary teams; ability to work individually. |
|
| 7) |
Ability to communicate effectively in Turkish, both orally and in writing; Knowledge of at least one foreign language; the ability to write and understand written reports effectively, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. |
|
| 8) |
Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. |
|
| 9) |
Acting in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. |
|
| 10) |
Information about business life practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. |
|
| 11) |
Knowledge about the universal and social effects of engineering applications on health, environment and safety and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
|
BİLGİ PAKETİ / DERS KATALOĞU
