Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | DEPARTMENT OF COMPUTER ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | CAHİT KÖME (cahit@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SEMA ATASEVER, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To give basic knowledge of mathematics and to develop analytical thinking skills. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can learn using the concepts of limit, continuity and differetation of one variable functions, |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. PO-19 Students develop self-renewal and researcher skills in order to adapt to innovations and developing technology. |
Examination |
| LO-2 | Can learn sketching the graph of a function using asymptotes, critical points and the derivative test for increasing/decreasing and concavity properties, |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. PO-19 Students develop self-renewal and researcher skills in order to adapt to innovations and developing technology. |
Examination |
| LO-3 | Can learn setting up and solving max/min problems |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. PO-19 Students develop self-renewal and researcher skills in order to adapt to innovations and developing technology. |
Examination |
| LO-4 | Can learn evaluating definite integrals by using the Fundamental Theorem of Calculus and evaluating areas, volumes and arc lenghts by mean of definit integral |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. PO-19 Students develop self-renewal and researcher skills in order to adapt to innovations and developing technology. |
Examination |
| LO-5 | Can learn applying techniques of integration and working with transcendental functions. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. PO-19 Students develop self-renewal and researcher skills in order to adapt to innovations and developing technology. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Functions, Limits and Contiunity, derivative and Integration | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Functions:Domain of a Function,Functions and Graphs, Even-Odd Functions, Symmetry, Operations on Functions (Sum, difference, multiplication, division and powers),Composite Functions, Piecewise Functions, Polynomials and Rational Functions, Trigonometric Functions | Lecture, question-answer, discussion |
| 2 | Limits and Contiunity: Limit of a Function and Limit Laws, The Sandwich (The Squeeze theorem), The Precise Definition of a Limit, One-sided Limits, , Limits İnvolving İnfinity, Infinity Limits | Lecture, question-answer, discussion |
| 3 | Contiunity at a Point, Continuous Functions, The İntermediate Value Theorem Types of Discontiunity, Differentiation:Tangents ,Normal Lines , The Derivative at a Point, The Derivate as a Function, Onesided Derivatives | Lecture, question-answer, discussion |
| 4 | Differentiable on an Interval, Differentiation Rules, High order Derivatives, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Linearization and Differentials, Increasing Functions and Decrasing Functions | Lecture, question-answer, discussion |
| 5 | Transcendental Functions:Inverse Functions and Their Derivatives,Logarithms and Exponential Functions and Their Derivatives, Logarithmic Differentiation, Inverse Trigonometric Functions and Their Derivatives, Hyperbolic Functions and Their Derivatives,Inverse Hyperbolic Functions and Their Derivatives | Lecture, question-answer, discussion |
| 6 | Indeterminate Forms and L’Hospitals Rule, Extrem Values of Functions, Critical Points, | Lecture, question-answer, discussion |
| 7 | Rolle’s Theorem, The Mean Value Theorem, The First Derivative Test for Local Extrema, Concavity , The Second Derivative Test for Concavity, Point of İnflection, The Second Derivative Test for Local Extrema | Lecture, question-answer, discussion |
| 8 | mid-term exam | |
| 9 | Asymptotes of Graphs, Curve Sketching, Antiderivatives, Indefinite Integrals, Integral Tables | Lecture, question-answer, discussion |
| 10 | Integration:Area and Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums, Riemann Sums, Definite İntegral, Properties of Definite İntegral, Area Under the Graph of a nonnegative Function, Average Value of Continuous Functions | Lecture, question-answer, discussion |
| 11 | Mean Value Theorem fo Definite İntegrals, The Fundamental Theorem of Calculus: Fundamental Theorem Part 1, Fundamental Theorem Part 2, Techniques of Integration: Integration by Substitution, Integration by Parts, Trigonometric Integrals, Reduction Formulas | Lecture, question-answer, discussion |
| 12 | Trigonometric Substitutions, Tan (θ/2) subtitutions, Integrations of Rational Functions by Partial Fractions | Lecture, question-answer, discussion |
| 13 | Applications of definite integrals:Area between two curves, Volumes Using Cross-sections, The Disk Method, the Washer Method, The Ccylindrical Shell method, Arch Length, Areas of Surfuces of Revolution | Lecture, question-answer, discussion |
| 14 | Applications of definite integrals:Area between two curves, Volumes Using Cross-sections, The Disk Method, the Washer Method, The Ccylindrical Shell method, Arch Length, Areas of Surfuces of Revolution | Lecture, question-answer, discussion |
| 15 | Improper Integrals, Improper Integrals of Type 1 and Type 2 | Lecture, question-answer, discussion |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Thomas Kalkülüs (cilt 1) ,George B. Thomas ,Maurica D. Weir Joel R. Hass , Çeviri Editörü Mustafa Bayram , 2011, Ankara | |
| 2 | Salih Çelik ve Sultan Çelik, Matematik Analiz 1, 3. baskı, Birsen Yayınevi, 2010 | |
| Required Course instruments and materials | ||
| The textbook, laptop, projection equipment | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 1 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 4 | 14 | 56 |
| b) Search in internet/Library | 4 | 14 | 56 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 5 | 1 | 5 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 5 | 1 | 5 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||