| Week |
Subject |
Related Preparation |
| 1) |
Infinite Sequences: Convergence and Divergence of Sequences, Calculating Limits of Sequences, Sandwich Theorem for Sequences, Continuous Function Theorem of Sequences, Frequent Limits, Recursively Defined, Sequences, Bounded Monotone Sequences, Monotone Sequence Theorem. |
|
| 2) |
Infinite Series: For Geometric Series, Divergent Series n. Term Test, Combining Series, Adding or Deleting Terms, Convergence Tests for Series with Positive Terms: Integral Test, p Series, Harmonic Series, Comparison Test, Limit Comparison Test, Ratio Test, Root Test. |
|
| 3) |
Alternating Series: Alternating Harmonic Series, Alternating Series Test (Leibniz Test), Absolute and Conditional Convergence. Power Series: Radius of Convergence of a Power Series, Operations in Power Series, Series Product Theorem for Power Series, Term Term Derivative Theorem, Term Term Integration Theorem, Taylor and Maclaurin Series, n. Taylor Polynomial of Order. |
|
| 4) |
Applications of Taylor Series: Computing Non-Elementary Integrals, Arctangents, Calculating Limits Under Uncertainty. Parametric Equations and Polar Coordinates: Parametrizing Planar Curves. |
|
| 5) |
Polar Coordinates: Polar Equations, Relationship Between Polar and Cartesian Coordinates, Graphing with Polar Coordinates (Line, Circle and Cardioid), Areas and Lengths in Polar Coordinates, Area in Plane, Length of Polar Curve. |
|
| 6) |
Vectors: Three Dimensional Coordinate Systems, Vectors, Dot Product, Angle Between Two Vectors, Perpendicular Vectors, Vector Product, Parallel Vectors, Lines and Planes in Space: Lines and Line Segments in Space, Vector Equation of a Line, Parametric Equations of a Line, A Plane in Space Equation for Intersection Lines. Vector Value Functions: Curves and Tangents in Space, Limit and Continuity, Derivatives, Velocity Vector, Acceleration Vector, Rules of Derivative, Arc Length Along a Space Curve. |
|
| 7) |
Multivariate Functions: Definition and Value Sets, Functions of Bivariates, Graphs of Functions of Bivariates and Level Curves, Functions of Trivariate, Level Surfaces (plane, sphere, ellipsoid, elliptical paraboloid, cylinder, cone), Limit in Bivariate Functions, Continuity, Limitin Dual Path Test for Absence, Continuity of Resultant Functions, Functions with More than Two Variables. |
|
| 8) |
Partial Derivatives: Partial Derivatives of Functions of Two Variables, Partial Derivative and Continuity, Second Order Partial Derivatives, Mixed Derivative Theorem, Higher Order Partial Derivatives, Differentiability, Chain Rule: Functions of Two Variables, Chain Rule for Functions Containing Two Independent Variables, Functions of Three Variables, Chain Rule for Functions with Three Arguments, Chain Rule for Two Arguments and Three Intermediate Variables. |
|
| 9) |
Implicit Derivative, Directional Derivatives and Gradient Vector: Directional Derivatives in the Plane, Computation and Gradients, Tangents of Level Curves and Gradients, Functions of Three Variables. Tangent Planes and Differentials: Tangent Plane of a Surface, Normal Line of a Surface. |
|
| 10) |
Linearizing Two Variables Function, Differentials, Extreme Values; Local Extreme Values, Critical and Saddle Points, Second Derivative Test for Local Extreme Values. |
|
| 11) |
Multiple Integrals: Double Integrals on Rectangles, Double Integrals as Volume. Calculation of Double Integrals: Fubini's Theorem (First Shape), Double Integrals over General Regions, Double Integrals over Non-Rectangular Bounded Regions, Volumes (volume between two surfaces), Fubini's Theorem (Extensive Shape) |
|
| 12) |
Finding the limits of integration: Properties of Double Integrals, Area Calculation of Double Integrals, Mean Value Theorem. Double Integrals in Polar Form: Finding Integration Boundaries, Converting Cartesian Integrals to Polar Integrals. |
|
| 13) |
Calculation of volume (volume between two surfaces) using polar coordinates, Variable Transformation in Double Integrals. |
|
| 14) |
Triple Integral: Triple Integral in Cartesian Coordinates, Volume Calculation, Triple Integral Calculation in Spherical Coordinates. |
|
| |
Program Outcomes |
Level of Contribution |
| 1) |
Having knowledge and understanding of Molecular Biology and Genetics subjects, established on competencies gained in previous education and supported by using course books containing latest information, application tools and other scientific literature. |
1 |
| 2) |
Students can integrate knowledge and skills from molecular biology and genetics courses and can acquire further knowledge according to their own interests. |
2 |
| 3) |
Students acquire practical skills in fundamental molecular biology and genetics techniques. |
1 |
| 4) |
Ability of proposing solutions in unexpected, complicated situations on applications of Molecular Biology and Genetics by claiming responsibility individually or as a part of a team. |
1 |
| 5) |
Competency in planning academic studies on Molecular Biology and Genetics and carrying out these studies individually or collectively. |
2 |
| 6) |
Students can develop ability to analyse and interpret experimental data obtained in a laboratory setting statistically. |
3 |
| 7) |
Sufficient foreign language knowledge for communication between colleagues and following literature on Molecular Biology and Genetics. |
1 |
| 8) |
Students can use computational technologies to analyse scientific data and for information retrieval. |
2 |
| 9) |
Being aware of the necessity of lifelong education, reaching information, following the advances in science and technology and constant struggle of renewing oneself. |
1 |
| 10) |
Evaluating natural and social events with an environmental point of view and ability of informing and leading the public opinion |
1 |
| 11) |
Students acquire professional knowledge and skills to fulfil requirements of their future employers. |
1 |
| 12) |
Having proper social, ethical and scientific values and the will to protect these values on studies about collection, evaluation, contemplation, publication and application of data regarding Molecular Biology and Genetics. |
3 |
| 13) |
Students can understand and evaluate advantages and limitations of technological platforms in life sciences including genomics, genetic engineering and biotechnology. |
1 |
| 14) |
Students would have consciousness on subjects such as the quality management, worker welfare and safety. |
1 |
Istanbul Health and Technology University INFORMATION PACKAGE / COURSE CATALOGUE