| 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) |
Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing. |
|
| 2) |
Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering. |
|
| 3) |
Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems. |
|
| 4) |
Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals* |
|
| 5) |
Engineering Design: Ability to design creative solutions to complex engineering problems. |
|
| 6) |
Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*. |
|
| 7) |
Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations. |
|
| 8) |
Research and Review: Ability to conduct literature research for the investigation of complex engineering problems. |
|
| 9) |
Research and Review: Ability to design experiments for the investigation of complex engineering problems. |
|
| 10) |
Research and Review: Ability to conduct experiments for the investigation of complex engineering problems. |
5 |
| 11) |
Research and Investigation: Ability to collect data to investigate complex engineering problems. |
|
| 12) |
Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems. |
4 |
| 13) |
Research and Review: Ability to use research methods for the investigation of complex engineering problems. |
|
| 14) |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable |
|
| 15) |
Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions. |
3 |
| 16) |
Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility. |
|
| 17) |
Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity. |
|
| 18) |
Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed). |
|
| 19) |
Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed). |
|
| 20) |
Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed). |
|
| 21) |
Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession). |
|
| 22) |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis. |
|
| 23) |
Project Management: Awareness of entrepreneurship and innovation. |
|
| 24) |
Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes. |
|
BİLGİ PAKETİ / DERS KATALOĞU
